{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smart water flooding analytical solution\n",
    "This document is mostly based on the SPE-7660 paper by Gary Pope. I first implement the simple water flooding analytical solution and then expand it to low salinity water flooding with and without ionic adsorption.\n",
    "\n",
    "## Mathematical model\n",
    "The two phase flow equation in a 1D porous medium reads\n",
    "$$\\frac{\\partial S_w}{\\partial t}+\\frac{u}{\\varphi}\\frac{df_w}{dS_w}\\frac{\\partial S_w}{\\partial x} = 0 $$\n",
    "The dimensionless time and space are defined as\n",
    "$$t_D = \\frac{ut}{\\varphi L}$$ and\n",
    "$$x_D = \\frac{x}{L}$$\n",
    "The velocity of a constant saturation front is calculated by\n",
    "$$V_{S_w} = (\\frac{dx}{dt})_{S_w}=\\frac{u}{\\varphi}\\frac{df_w}{dS_w}$$\n",
    "The shock front is specified by\n",
    "$$\\frac{f_w(S_{w,shock})-f_w(S_{w,init})}{S_{w,shock}-S_{w,init}}=\\left(\\frac{df_w}{dS_w}\\right)_{S_{w,shock}}$$\n",
    "The injected water front velocity (i.e., a tracer in the injected water, or the low salinity of the injected brine) is calculated by\n",
    "$$V_{c} = (\\frac{dx}{dt})_{c}=\\frac{u}{\\varphi}\\frac{f_w}{S_w}$$\n",
    "an the water saturation that corresponds to the position of the salinity front is given by\n",
    "$$\\frac{f_w(S_{w,s})-f_w(0)}{S_{w}-0.0}=\\left(\\frac{df_w}{dS_w}\\right)_{S_{w,shock}}$$\n",
    "which is the tangent line fron the point (0,0) to the $f_w-S_w$ (fractional flow) curve.\n",
    "The breakthrough time (in number of pore volume) is calculated by\n",
    "$$t_{D, bt} = \\left(\\frac{df_w}{dS_w}\\right)^{-1}_{S_{w,shock}}$$\n",
    "The other useful relation is the average saturation after breakthrough, which reads\n",
    "$$S_{w,av} = S_{or}+\\left[(1-f_w)\\left(\\frac{df_w}{dS_w}\\right)\\right]_{x=L}, \\;t_D>t_{D,bt}$$ \n",
    "The recovery factor then can be calculated based on the fact that the recovery curve is linear until the breakthrough, and after breakthrough it gradually reaches a plateau. The oil recovery factor before the breakthrough is calculated by\n",
    "$$R = \\frac{(1-f_w(S_{w,init}))t_D}{1-S_{w,init}}, \\;t_D<t_{D,bt}$$ and after breakthrough by\n",
    "$$R = \\frac{S_{w,init}-S_{w,av}}{1-S_{w,init}}, \\; t_D>t_{D,bt}$$\n",
    "Let's try the above formulation in Julia."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing the codes\n",
    "The `FractionalFlow.jl` package is built to solve and visualize the analytical solutions to several injection problem in the petroleum engineering, including water flooding, low salinity water flooding with and without ionic adsorption, and solvent flooding (carbonated water, DME, etc). There are several functions that are documented in the code. Here, I show by example how to define a problem, solve it, and visualize the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module FractionalFlow.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Main.FractionalFlow"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Water flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f315f431160>"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "FF.visualize(rel_perms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>Corey rel-perm parameters</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>Corey rel-perm parameters</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_relperm(rel_perms, title=\"Corey rel-perm parameters\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "FF.visualize(rel_perms, fluids, label=\"lowsal\")\n",
    "tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids.oil_viscosity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:395\n",
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:395\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0, 3.98548e-7, 8.04231e-7, 1.21713e-6, 1.63731e-6, 2.06486e-6, 2.49986e-6, 2.94237e-6, 3.39248e-6, 3.85026e-6, 4.31579e-6, 4.78913e-6, 5.27036e-6, 5.75955e-6, 6.25678e-6, 6.76209e-6, 7.27558e-6, 7.7973e-6, 8.32731e-6, 8.86568e-6, 9.41247e-6, 9.96774e-6, 1.05315e-5, 1.11039e-5, 1.1685e-5, 1.22747e-5, 1.28732e-5, 1.34805e-5, 1.40966e-5, 1.47216e-5, 1.53555e-5, 1.59983e-5, 1.66501e-5, 1.7311e-5, 1.79809e-5, 1.86598e-5, 1.93478e-5, 2.00449e-5, 2.07512e-5, 2.14665e-5, 2.21909e-5, 2.29245e-5, 2.36672e-5, 2.44189e-5, 2.51798e-5, 2.59497e-5, 2.67287e-5, 2.75166e-5, 2.83136e-5, 2.91194e-5, 2.99342e-5, 3.07578e-5, 3.15902e-5, 3.24313e-5, 3.3281e-5, 3.41393e-5, 3.50061e-5, 3.58813e-5, 3.67647e-5, 3.76564e-5, 3.85561e-5, 3.94639e-5, 4.03794e-5, 4.13027e-5, 4.22335e-5, 4.31717e-5, 4.41172e-5, 4.50698e-5, 4.60293e-5, 4.69955e-5, 4.79683e-5, 4.89475e-5, 4.99328e-5, 5.0924e-5, 5.1921e-5, 5.29234e-5, 5.39311e-5, 5.49438e-5, 5.59612e-5, 5.6983e-5, 5.80091e-5, 5.9039e-5, 6.00726e-5, 6.11094e-5, 6.21493e-5, 6.31918e-5, 6.42367e-5, 6.52836e-5, 6.63322e-5, 6.73821e-5, 6.84329e-5, 6.94843e-5, 7.05358e-5, 7.15872e-5, 7.2638e-5, 7.36878e-5, 7.47362e-5, 7.57828e-5, 7.68271e-5, 7.78688e-5, 7.78688e-5, 0.000155738]\n",
      "[0.8, 0.798065, 0.79613, 0.794195, 0.79226, 0.790325, 0.78839, 0.786455, 0.78452, 0.782585, 0.78065, 0.778715, 0.77678, 0.774845, 0.77291, 0.770976, 0.769041, 0.767106, 0.765171, 0.763236, 0.761301, 0.759366, 0.757431, 0.755496, 0.753561, 0.751626, 0.749691, 0.747756, 0.745821, 0.743886, 0.741951, 0.740016, 0.738081, 0.736146, 0.734211, 0.732276, 0.730341, 0.728406, 0.726471, 0.724536, 0.722601, 0.720666, 0.718731, 0.716797, 0.714862, 0.712927, 0.710992, 0.709057, 0.707122, 0.705187, 0.703252, 0.701317, 0.699382, 0.697447, 0.695512, 0.693577, 0.691642, 0.689707, 0.687772, 0.685837, 0.683902, 0.681967, 0.680032, 0.678097, 0.676162, 0.674227, 0.672292, 0.670357, 0.668422, 0.666487, 0.664552, 0.662617, 0.660683, 0.658748, 0.656813, 0.654878, 0.652943, 0.651008, 0.649073, 0.647138, 0.645203, 0.643268, 0.641333, 0.639398, 0.637463, 0.635528, 0.633593, 0.631658, 0.629723, 0.627788, 0.625853, 0.623918, 0.621983, 0.620048, 0.618113, 0.616178, 0.614243, 0.612308, 0.610373, 0.608438, 0.2, 0.2]\n",
      "[0.0, 7.66667e-6, 1.53333e-5, 2.3e-5, 3.06667e-5, 3.83333e-5, 4.6e-5, 5.36667e-5, 6.13333e-5, 6.9e-5, 7.66667e-5, 8.43333e-5, 9.2e-5, 9.96667e-5, 0.000107333, 0.000115, 0.000122667, 0.000130333, 0.000138, 0.000145667, 0.000153333, 0.000161, 0.000168667, 0.000176333, 0.000184, 0.000191667, 0.000199333, 0.000207, 0.000214667, 0.000222333, 0.00023, 0.000237667, 0.000245333, 0.000253, 0.000260667, 0.000268333, 0.000276, 0.000283667, 0.000291333, 0.000299, 0.000306667, 0.000314333, 0.000322, 0.000329667, 0.000337333, 0.000345, 0.000352667, 0.000360333, 0.000368, 0.000375667, 0.000383333, 0.000391, 0.000398667, 0.000406333, 0.000414, 0.000421667, 0.000429333, 0.000437, 0.000444667, 0.000452333, 0.00046, 0.000467667, 0.000475333, 0.000483, 0.000490667, 0.000498333, 0.000506, 0.000513667, 0.000521333, 0.000529, 0.000536667, 0.000544333, 0.000552, 0.000559667, 0.000567333, 0.000575, 0.000582667, 0.000590333, 0.000598, 0.000605667, 0.000613333, 0.000621, 0.000628667, 0.000636333, 0.000644, 0.000651667, 0.000659333, 0.000667, 0.000674667, 0.000682333, 0.00069, 0.000697667, 0.000705333, 0.000713, 0.000720667, 0.000728333, 0.000736, 0.000743667, 0.000751333, 0.000759, 0.000766667, 0.000774333, 0.000782, 0.000789667, 0.000797333, 0.000805, 0.000812667, 0.000820333, 0.000828, 0.000835667, 0.000843333, 0.000851, 0.000858667, 0.000866333, 0.000874, 0.000881667, 0.000889333, 0.000897, 0.000904667, 0.000912333, 0.00092, 0.000927667, 0.000935333, 0.000943, 0.000950667, 0.000958333, 0.000966, 0.000973667, 0.000981333, 0.000989, 0.000996667, 0.00100433, 0.001012, 0.00101967, 0.00102733, 0.001035, 0.00104267, 0.00105033, 0.001058, 0.00106567, 0.00107333, 0.001081, 0.00108867, 0.00109633, 0.001104, 0.00111167, 0.00111933, 0.001127, 0.00113467, 0.00114233, 0.00115, 0.00115767, 0.00116533, 0.001173, 0.00118067, 0.00118833, 0.001196, 0.00120367, 0.00121133, 0.001219, 0.00122667, 0.00123433, 0.001242, 0.00124967, 0.00125733, 0.001265, 0.00127267, 0.00128033, 0.001288, 0.00129567, 0.00130333, 0.001311, 0.00131867, 0.00132633, 0.001334, 0.00134167, 0.00134933, 0.001357, 0.00136467, 0.00137233, 0.00138, 0.00138767, 0.00139533, 0.001403, 0.00141067, 0.00141833, 0.001426, 0.00143367, 0.00144133, 0.001449, 0.00145667, 0.00146433, 0.001472, 0.00147967, 0.00148733, 0.001495, 0.00150267, 0.00151033, 0.001518, 0.00152567]\n",
      "[0.8, 0.76759, 0.742019, 0.72047, 0.701531, 0.684381, 0.668481, 0.65345, 0.638981, 0.624809, 0.610671, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f315fb87be0>"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, \n",
    "    p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties()\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = range(0, 1, length=100)\n",
    "# plot(sw_tmp, fw.(sw_tmp), xlabel = \"Sw\", ylabel=\"fw\", label=\"\")\n",
    "# plot!(sw_tmp, dfw.(sw_tmp))\n",
    "# figure(1)\n",
    "# plot(pv, R) \n",
    "# xlabel(\"PV injected\")\n",
    "# ylabel(\"Recovery factor\") \n",
    "# title(\"Water flooding\")\n",
    "# figure(2)\n",
    "# plot(xt, sw)\n",
    "# xlabel(\"x/t [-]\")\n",
    "# ylabel(\"Water saturation [-]\")\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low salinity water flooding - with/without adsorption"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:395\n",
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:395\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f315f7ced30>"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids_hs = FF.oil_water_fluids(mu_water=1.5e-3, mu_oil=3e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=3e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## compare with numeric"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  92%|█████████████████████████████████████▊   |  ETA: 0:00:01\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.30435, 2.6087, 3.91304, 5.21739, 6.52174, 7.82609, 9.13043, 10.4348, 11.7391  …  1162.17, 1163.48, 1164.78, 1166.09, 1167.39, 1168.7, 1170.0, 1171.3, 1172.61, 1173.91], [0.0, 0.000333333, 0.000666667, 0.001, 0.00133333, 0.00166667, 0.002, 0.00233333, 0.00266667, 0.003  …  0.297, 0.297333, 0.297667, 0.298, 0.298333, 0.298667, 0.299, 0.299333, 0.299667, 0.3], [0.0, 0.000412844, 0.000825688, 0.00123853, 0.00165138, 0.00206422, 0.00247706, 0.00288991, 0.00330275, 0.0037156  …  0.367844, 0.368257, 0.36867, 0.369083, 0.369495, 0.369908, 0.370321, 0.370734, 0.371147, 0.37156], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0015, 0.0018, 0.0021, 0.0024, 0.0027  …  0.1473, 0.1476, 0.1479, 0.1482, 0.1485, 0.1488, 0.1491, 0.1494, 0.1497, 0.15], [1.0, 0.846108, 0.844368, 0.842739, 0.841174, 0.839654, 0.838169, 0.836714, 0.835284, 0.833877  …  0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2], [0.0, 1.16822e-83, 1.29599e-81, 7.25119e-80, 2.72532e-78, 7.73532e-77, 1.76771e-75, 3.38681e-74, 5.59411e-73, 8.12996e-72  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "# plot(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "ename": "MethodError",
     "evalue": "MethodError: no method matching -(::Int64, ::Array{Float64,1})\nClosest candidates are:\n  -(!Matched::PyCall.PyObject, ::Any) at /home/ali/.julia/packages/PyCall/0jMpb/src/pyoperators.jl:14\n  -(::Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8}) at int.jl:51\n  -(::T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8}, !Matched::T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8}) where T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8} at int.jl:52\n  ...",
     "output_type": "error",
     "traceback": [
      "MethodError: no method matching -(::Int64, ::Array{Float64,1})\nClosest candidates are:\n  -(!Matched::PyCall.PyObject, ::Any) at /home/ali/.julia/packages/PyCall/0jMpb/src/pyoperators.jl:14\n  -(::Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8}) at int.jl:51\n  -(::T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8}, !Matched::T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8}) where T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8} at int.jl:52\n  ...",
      "",
      "Stacktrace:",
      " [1] top-level scope at In[79]:3"
     ]
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1.-c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low salinity flooding, an exceptional case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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C70zYNh6dCroWFPNRry+w929iPKjRQNeulg0uxL/IqyshhKhEfjuSxJx1pwF4t/eDdKnrY/EMutRUYgcNRHf5MnZ1ahO8bCkal5tblH45t4Y3t41HBzyWX8jcHsuwD25t8bxC3IkUOkIIUUkcjL3C2O8OATCwQ01eaRtq8Qz6rCxiB4VTfCkW28BAQpYvx8bT86bzvjv9HZO3T8YAPJmTx+xu87Gt1dnieYW4G3l1JYQQlUBKdiGDv9xPkc7Aw/V9mdyrgcUzGPLziRsylKIzZ9D4eBOycgW2fn43nffF8S+Ys28OAC9m5zCp1UTU9XtZOq4QpSKFjhBCWFmx3sBrXx8kNaeIen6uLHypGRq1ZRe8NGi1xL/2OgWHDqF2dydk+XLsQkJKnKMoCsuOLGPRoUUAvJqZzZg6z6FqO9SiWYUoCyl0hBDCyuasO82ei8YRVotfbo6zvWV/NCs6HYlvjCNvxw5UTk6ELFuKQ926Jc9RFBYcWMDyY8sBGHElkyHebVA9NtuiWYUoKyl0hBDCiv44lsSyrRcA+Oi5JtTycbHo8xWDgaR3ppKzYQMqW1uCP12EY1hYiXMMioEP9nzA16e+BmBc+hX6O4bCcytBI79GROUm/4cKIYSVXEjNZdz3RwCI6FSTxxpZdv0nRVFI+eADslavBo2GwHlzcW7XrsQ5eoOeaTun8dO5nwB4Oy2D5w1O0OdbsHe1aF4hykMKHSGEsIICrZ7hqw6QW6SjVQ1Pxj9W3+IZ0iIjyfj8CwD8Z76H6yOPlDhebChm8t+T+T3md9SomJGaRu/8Iuj/PbgHWTyvEOUhhY4QQljB9F+Pcyo5B28Xexb1aY6txrKzfWR88SVpnxg7Ffu99RYeTz5Z4rhWr2XcX+PYHLcZG5Wa2SlpPJqbB4/NhtD2Fs0qREVIoSOEEBa2/ngy3+yJQ6WCBS82xc/NwaLPz/z5Zy6//z4A3q+/hle/V0ocL9AVMHrzaHYk7sBObcvcjDy65OZCo2ehjYywEvcWKXSEEMKCUnIKmbj6KAARnWrRoY63RZ+fs3EjSZOnAODVvx/ew4eXOJ5XnMeITSPYf3k/jhoHFmqdaHvlPPg2hN4Lb6xALsQ9QmZGFkIIC1EUhfE/HCEjT0v96q680aPu3S8yobydO0kYMxb0etyffhrfCRNQ/aNwySrKImJ9BPsv78fF1oWl7i1oG3sI7N3gha/AzvILiwpRUVLoCCGEhXy56xJbTqdiZ6Nm4UvNsLex3EreBYcPEzfiNZTiYly7d8d/+jRU6hu/AtIL0hm0bhBH047ibu9OdIMImu3/xnjwycVQrbbFsgphSvLqSgghLOBcSg4zfzsJwKSe9anrZ7mh2YWnzxA7eAhKfj7O7dsT8PFHqGxu/Pi/nHeZiA0RxGTFUM2hGss6zKLu1y8bD7YeDA0et1hWIUxNWnSEEMLMivUGRn97iCKdgU4PeNO/XQ2LPVsbG0ts+CAMWVk4Nm1K0KJPUNvZXT+ekJvAgD8GEJMVg5+TH589uoK6f34A+Wng+yB0n2GxrEKYgxQ6QghhZsu2XuBYQjYeTrZ89FwYagutY1V8+TKxAwehT03Dvl49gpcuQe3kdP34xayL9P+9P/G58QS5BPF5z8+pcfwXuLAZbBzh2RVga9kRYUKYmhQ6QghhRudSclmw6SwAU59oaLGh5LorV4gdNIji+HhsQ0MIiY5C4+5+/fjZK2cZ8McALudfpqZ7TT577DMCs5Jh03TjCT1ng6/lJzEUwtSk0BFCCDMxGBQmrT6CVmegaz0fnmwaaJHn6nPziBs8BO2589j4+RGyfAU2Pj7Xjx9PP86r614lvTCdep71WPnoSvxsnOGHQWDQQcMnoXl/i2QVwtykM7IQQpjJqt2X2HvxCs52Gt57slGJodzmYigsJH74cAqPHkXj6UnIiuXYBd0osA6mHGT4xuHkFufS2Lsxix9ZjLu9O/w6Fq7EgFsQPLFA5ssRVYa06AghhBkkZBYw+/dTAEzoWZ8gT6e7XFFxSnExCWPGkr9nD2pnZ4KjorCvfWNY+K6kXQzZMITc4lxa+LVgWfdlxiLn/GbYt9x40pOfgqOH2bMKYSlS6AghhIkpisLkn46Sp9XTMtSTl9uEmv+ZBgOJkyeTu3kzKnt7ghZH4tjowevHt8ZvZcTGERToCmgf0J7FjyzGxc4FCrPg/14zntQqAmp1NXtWISxJCh0hhDCxNYcTjRMDatTMfqaJ2UdZKYrC5fdmkr3mF7CxIXDBfJxbt75+fN3FdYz6cxRag5Zuwd345KFPcLRxNB784y3IjgfPmtB9mllzCmENUugIIYQJZRcWM+NX48SAIx+uQx1fF7M/M3XBAq58/TWoVATMno1r167Xj605v4bxW8ejU3T0rNGTj7t+jJ3m6jw6p/+AQ18BKuPsx7LEg6iCpDOyEEKY0PwNZ0nLLaKWjzODO5t/2YT0FStJX7IUgOpT38H98V7Xj313+jtm7DJO+PdUnaeY2m4qGvXVZSfyM+CXkcbtdiMgtJ3ZswphDVLoCCGEiZxKzubznRcBmNb7QexszNtofuX770n58EMAfMaOxfPFF68f+/z453y07yMA+tTvw4TWE1Cr/pHnj4mQexm868JDU8yaUwhrkkJHCCFMQFEU3vn5OHqDQs9G1en0gM/dL6qA7D/+IPmdqQBUCx+E9+CI6zmWHFlC5KFIAAY1GsSo5qNKDm0/twmOfMv1V1a2jmbNKoQ1SaEjhBAm8POhBPZczMDRVsOUxxua9Vm527aR8OZ4UBQ8nn8enzfeAIxFzrwD81h5bCUArzV9jcFNBpcscrR58OsY43abIRDU0qxZhbA2KXSEEKKCsguLeX+tcc6c1x6qQ6CH+VpI8vfvJ/71kVBcjNt/elJ96juoVCoMioHZe2bzzalvAHiz5Zv0e7DfzTfYMhsyLxknBpRXVuI+IIWOEEJU0PwNZ0nNKaKmtzPhnWqa7TmFJ08SN3QYSmEhzp07ETB7NiqNBr1Bz7s73+Xncz+jQsWUtlN4vt7zN98g6TDs/NS43etjsHc1W1YhKgspdIQQogLOXs653gH53d4PYm+jMctzimJiiB0UjiEnB8eWLQhasACVnR3FhmLe2vYWf1z8A7VKzXsd3uOJ2k/cfAO9DtaMBEUPDz4F9R4zS04hKhspdIQQogLeX3sSvUGhe0M/utQ1Twfk4sREYgcOQp+RgUPDhgQvXoza0ZEifRHj/hrHlrgt2Kht+LDzh3QP7X7rm+xeAkmHwMEdHvvALDmFqIyk0BFCiHL6+2wam0+nYqNWMalnfbM8Q5eeTuzAQeiSkrCrWZPg6Cg0rq4U6AoY9ecodibtxE5tx7xu8+gc1PnWN8mMg80zjdvdZ4Crn1myClEZWX1m5MjISGrWrImDgwMtWrRg27Ztdzx//vz51KtXD0dHR4KDgxkzZgyFhYUWSiuEEEZ6g8J7v50A4OW2odTyMf0MyPqcHGIjItBevIhNgD8hK5Zj4+VFrjaXoRuGsjNpJ442jkQ+Enn7Igdg3SQozoeQ9tDsFZPnFKIys2qLzrfffsvo0aOJjIykQ4cOLF26lJ49e3LixAlCQkJuOn/VqlVMnDiRFStW0L59e86cOcOAAQMAmDdvnoXTCyHuZz8eiOdUcg6uDjaMfPgBk9/fUFBA3NBhFJ04iaZaNUJXrMDW35+soiyGbhjKsfRjuNi6sPiRxTT1bXr7G53bCCd/AZUGen0Eaqv/fSuERVn1//i5c+cyaNAgwsPDadCgAfPnzyc4OJjFixff8vydO3fSoUMH+vTpQ40aNejRowcvvfQS+/bts3ByIcT9LF+r46N1pwF4/aE6eDnbmfT+ilZL/MhRFOzfj9rVlZDl0djVqEF6QToD1w3kWPoxPOw9WP7o8jsXOboiWDveuN1mCPg9ePtzhaiirFboaLVa9u/fT48ePUrs79GjBzt27LjlNR07dmT//v3s2bMHgAsXLrB27Vp69ep1y/MBioqKyM7OLvEhhBAVsWzrBVJyigj2cqR/+xomvbei15MwYQJ527ahcnQkeOkSHOrX53LeZQb8MYAzV85QzaEaKx5dQcNqd5mYcOciyDgPLn7QdaJJcwpxr7Daq6u0tDT0ej1+fiU7xfn5+ZGcnHzLa1588UVSU1Pp2LEjiqKg0+kYNmwYEyfe/ht41qxZTJs2zaTZhRD3r8vZhSz96wIAEx6rb9Lh5IqikPzuu+T8/gfY2hK0cCFOzZsTnxNP+PpwEnITqO5cnege0YS6hd75ZplxsNW41hXdZxhHWwlxH7L6y9oSU5Nj/Eb/975rtmzZwsyZM4mMjOTAgQOsXr2aX3/9lRkzZtz2/pMmTSIrK+v6R1xcnEnzCyHuL/M2nKGgWE+zEA96NfY32X0VRSHlo4/I/P4HUKsJnDMHl04dicmKof8f/UnITSDYNZjPH/v87kUOwLq3bnRAbnKLyQOFuE9YrUXH29sbjUZzU+tNSkrKTa0817z99tu88sorhIeHA9C4cWPy8vIYPHgwkydPRn2LTnb29vbY29ub/gsQQtx3zqfm8v3+eAAm/6fBbf8oK4/0ZVFkLF8BgP+M6bg99iinM04zeMNgMgozqOVei6geUfg6+d79Zuc2wck1NzogmzCnEPcaq7Xo2NnZ0aJFCzZs2FBi/4YNG2jfvv0tr8nPz7+pmNFoNCiKgqIoZssqhBBgbM3RGxQeru9LyxpeJrvvlW++IfXqyFHfCRPweOYZjqUdY+C6gWQUZlDfqz4rH1tZuiJHXwx/XH2dLx2QhbDu8PKxY8fyyiuv0LJlS9q1a8eyZcuIjY1l6NChAPTr14/AwEBmzZoFwBNPPMHcuXNp1qwZbdq04dy5c7z99tv07t0bjcY8064LIQTA8cQsfj2SBMAbPeqZ7L5Zv/xK8nTj6/dqw4ZS7dUBHLh8gOGbhpNXnEcT7yZEPhKJu30p+9jsWwlpZ8CpGnSZYLKcQtyrrFrovPDCC6SnpzN9+nSSkpJo1KgRa9euJTTU+P45Nja2RAvOlClTUKlUTJkyhYSEBHx8fHjiiSeYOXOmtb4EIcR94tpw8t5hATQMcDPJPXP+3EzixImgKHj27YvPyJHsTNzJqM2jKNAV0NKvJYseXoSzrXPpbpifAVveN24/NAUcPUySU4h7mUq5z975ZGdn4+7uTlZWFm5upvlhJYSo2vZezOC5JTvRqFVsHNuFmt6lLDzuIG/3HuIiIlC0Wtz/2xv/WbP4K2Erb2x5A61BS4eADszrNg9HG8fS3/T3ibB7Mfg2hCHbQCOr/Iiqo7y/v60+6koIISozRVGY84exNef5lkEmKXIKjh4jftgwFK0Wl4cewv+991gXu54xm8egNWh5KPghFj60sGxFTtpZ2Btl3H50phQ5QlwlhY4QQtzB1rNp7LmYgZ2NmtcfqvhSD0XnzhEXEYEhPx+nNm0InDeXNZfWMmHrBHSKjv/U/A8fdf0IO00ZZ1tePwUMOqjbE2o/VOGcQlQVUvILIcRtKIrCnHWnAHilbSgBHmVoYbkFbXw8sQMHoc/MxKFJE4I+/ZTvYn5i5m5jP8NnHniGt9u+jUZdxsEV5zbBmT9AbQM93qtQRiGqGil0hBDiNtYdv8yxhGyc7TQM71q7QvcqTkkhduAgdCkp2D9Qh+ClS/jy4vd8vP9jAPo26MuEVhPKPjePXgfrJhu3Ww8G7zoVyilEVSOFjhBC3IKiKCzcdBaAAR1qUM2l/BOP6jMziRsUTnFsLLZBQQRFRxN16X9EHo4EILxxOCObjSzfBISHvoLUk+DoCV3GlzujEFWVFDpCCHELG0+mcCLJ2JoT3rFWue9jyMsjdsgQis6excbHh+AVy1kUt4qVx1cCMLLZSCKaRJTv5to82Hx1OHmXCcZiRwhRghQ6QgjxL4qisGDTGQD6ta+Bp3MZOwZfZdBqiXvtNQoPH0Ht7k5QdBRzEr/g29PfAjC+1XheafhK+YPujITcy+ARCi0Hlv8+QlRhUugIIcS//HkqhWMJ2TjZaYjoVL7WHEWnI/GNN8jfuQu1kxOBS5cwM/VL/u/8/6FCxdvt3ua5us+VP2ReGmxfYNx++B2wkTX9hLgVKXSEEOIf/tk355W2oXjTni4OAAAgAElEQVSVozVHMRhImvI2ORs2orKzo/qiBbyb9RXrLq5Do9Iwo8MMnqj9RMWC/vUhaHPAvyk8+HTF7iVEFSaFjhBC/MOWM6kcjs/C0VZDROeyt+YoisLl2bPJ+vln0Gjw/fgDphR8y5b4LdiobZjTeQ6PhD5SsZAZF2CfcaVzuk8HtUyJJsTtSKEjhBBXKYrCgo3G1pyX24bgXY6RVmmfRnLliy8BqDZjKhOUH9kVvwt7jT1zu86lc1DnigfdNAMMxVDnEajVpeL3E6IKk0JHCCGu2no2jUNxmTjYqhncuezz5mR88QVpixYB4DHpTd50/JUDSQdwtHFk0UOLaO3fuuIhE/bD8dWACh6ZVvH7CVHFSaEjhBAYW3M+udo3p2+bUHxcy9aak7n6Jy6/PwsA1+GDGVNtPcdTjuNq60rkI5E09W1qipCwYapxO+xFqN6o4vcUooqTQkcIIYC9F6+w79IV7DRqhpSxb072+vUkTZkCgOPLLzAydCtn08/hYe/B0u5LaVitoWlCXtgCF7eBxg66TTbNPYWo4kpV6CxcuLDMN3711VdxdXUt83VCCGENkVvOAfBsyyB83RxKfV3ejh0kvjEODAbs/tuT1xvu42LmJbwdvYnqHkUdTxMtyaAo8OcM43bLQeARbJr7ClHFlarQGT16NEFBQWg0pVtoLi4ujscff1wKHSHEPeFEYjZbTqeiVlGm1pyCQ4eIe+11lOJiNA915LWWx4nPScTf2Z/oHtGEuIWYLuTptcb+ObbO0Gms6e4rRBVX6ldX+/btw9fXt1TnSoEjhLiXLP7rPAC9mgQQWs25VNcUnj5N7OAhKPn5qNo05/VO50nMTyXYNZjoHtEEuASYLqBBD39eXZW87VBwKd3PYiFEKQudqVOn4uLiUuqbvvXWW3h5eZU7lBBCWMql9Dx+O5IIwNAupWvN0V66ROygcAzZ2dC4Pq8/Ekey9gq13WsT1SMKHycf04Y89iOknAAHd2j/umnvLUQVV+pCpywmTZpUrjBCCGFpS7dewKBA13o+PBjgftfziy9fJvbVgejT0lBqhzKqZzLJhlwaeDVgSfcleDmY+I88ffGNhTs7jJKFO4UoowpNpzl79mwyMzNNlUUIISwqJbuQH/bFAzC86907DeuuXCF24CCKExMxBPox+r8ZJGtyCfMJI/rRaNMXOQAHv4IrMeDsA22Gmv7+QlRxFSp03n//fTIyMkyVRQghLGr59hi0egMtQj1pVePOLSX63FziwiPQnj+PwceTN57KIcm+gFbVW7Gs+zLc7NxMH7C4wLimFUCncWBXuv5DQogbKlToKIpiqhxCCGFRWQXFrNoVC8DwrrVRqVS3PddQWEj8sOEUHj+Owd2F8U/nk+CqpWNgRyIfjsTJ1sk8IfethJxEcAuClq+a5xlCVHGyEpwQ4r60avclcot01PNzpVu9249iUoqLSRg9hvy9ezE4OTDlGS2xXnoeCXmEBd0W4GBT+jl3ykSbD3/PM253eRNsyr7ulhCigjMjnzhxgoAAEw6hFEIIC9DqDHy2/SIAgzvXQq2+dWuOYjCQOOktcrdswWBnw/SndZzzg161evFeh/ewUZtxcvl9yyEvBTxCoWlf8z1HiCquQt+lwcEyM6cQ4t6z5nAiKTlF+LnZ80TYrf9YUxSF5BkzyP71VxSNmg/+a+BEsJpnHniGt9u+jUZduglUy0WbB3/PN253fhM0tuZ7lhBVXKleXXl5eZGWllbqm4aEhHDp0qVyhxJCCHNRFIXobRcAGNC+JnY2t/4xmDp/AZnf/A9FBQseh4N11Lzc4GWmtptq3iIHYG805KeBZw3j4p1CiHIrVYtOZmYmv//+O+7ud59jAiA9PR29Xl+hYEIIYQ7bzqZxKjkHJzsNfVrfeomG9OXLSV+6FIBlj6rZ0VBNROMIXm/2+h07LZtEUS5sX2Dc7jxeWnOEqKBSv7rq37+/OXMIIYRFRF1tzXmhVTDuTjcXEVe++46UOR8BsKqrmk3N1IxqPorwxuGWCbhnGeSng1ctaPKCZZ4pRBVWqkLHYDCYO4cQQpjdyaRstp1NQ62CgR1q3nQ8e+1akqe+C8BP7VT8Xzs1E1pN4OWGL1smYFEO7Fho3O48HjRm7OwsxH1CvouEEPeN6G0xAPRs7E+wV8m5b3K3biVh/ARQFNY3U/G/Lhrebfcuz9R9xnIBdy+FgivgVRsaP2e55wpRhUmhI4S4L1zOLmTN4QQAIjqVXLwzf98+4keOAp2O7Q1UfPaoLbM6v0+vWr0sF7AoB3YuMm53mSCtOUKYiHwnCSHuC5/tuEixXqF1DS+aBntc319w/DixQ4ehFBayv7aKJf+146NuH/Nw6MOWDbgnytiaU60ONH7Wss8WogqTQkcIUeXla3Ws2mWc8iK8042+OUUXYoiNiEDJzeVEMHz6rCPzuy+gY2BHywbU5t1ozek0Dsw9fF2I+4gUOkKIKu/HAwlkF+oIrebEIw38AChOTOTSwFcxZFzhQnVY+JIrC3t+SqvqrSwfcN8K40grzxrSN0cIEyvzWld9+/Zl2bJlnDlzxhx5hBDCpAwGhZXbjZ2QB7SvgVqtQpeWRsyAAeiTLxNfDRa87M7CJ6KsU+QUF8D2qyOtOr0hfXOEMLEyFzouLi7MnTuX+vXrExAQwEsvvcSSJUs4deqUOfIJIUSFbD2byoXUPFztbXiuZTD67GwuDHwVfWwcKe7wST8vFjy1kjCfMOsE3P+5cU0r9xBoIrMgC2FqZS50li5dyqlTp0hMTGTu3Lm4u7uzYMECHnzwQfz9/c2RUQghym3l1cU7n2sZjJNey/mIQejPnCPTGSIH+DDvhS9oUK2BdcIVF8L2q2tadRwNNnbWySFEFVbuNlJXV1c8PT3x9PTEw8MDGxsbqlevbspsQghRIedScvnrTCoqFfRvFci54UPQHz5GrgMsfdWPOX2/IMTt1stAWMShryAnCVwDoJmFJiUU4j5T5hadCRMm0LZtW7y9vZkyZQparZZJkyZx+fJlDh48aI6MQghRLp/tMPbN6V7Ph8IZ49Dv2kehLawcEMCsAd9Yt8jRaW+sUN5xNNjYWy+LEFVYmVt05syZg4+PD1OnTuW///0vDRpYqclXCCHuICu/mB/3J4Ci0H93NIbNf6NTw9f9gpk2eBU+Tj7WDXj4G8iKAxc/aN7PulmEqMLKXOgcPHiQv/76iy1btvDxxx+j0Wjo0qULXbt2pWvXrlL4CCGsS6+HbdvY++chws7l09FwCq/DezGo4Ie+Ibz1+v/wdPC0ckYd/D3PuN1+JNg6WjePEFWYSlEUpSI3OHz4MPPnz+err77CYDCg1+tNlc0ssrOzcXd3JysrCzc3N2vHEUKY0urVMGoUxMcDkOZVjVQfY8vNLy+GMvSt73CzqwTf90d/gB8HgaMXjDkGds7WTiREpVfe39/l6ox88OBBtmzZwpYtW9i2bRvZ2dk0bdqUbt26led2QghRcatXw7PPwtW/3TI8PK4XOb4plxnV8B3sK0ORYzDAto+N222HS5EjhJmVudDx9PQkNzeXsLAwunbtSkREBJ07d5bWESGE9ej1xpacq0VOlpsbl/2Mo0C909LwysxENW4CPPM8aKy8vMKZ3yHlBNi5Qutw62YR4j5Q5kLnyy+/lMJGCFG5bNt2/XVVjrMzidWNc3p5XsnAOz0NFUBcnPG8rl2tFhNFudGa0zocHK3cV0iI+0CZC53HH3/8+nZ8fDwqlYrAwECThhJCiDJJSrq+aVtcjI1eh3NePn4pKcYi5xbnWcWFLZCwH2wcoO0I62YR4j5R5nl0DAYD06dPx93dndDQUEJCQvDw8GDGjBkYDAZzZBRCiDv7x6zsDlotNS5dwj85qWSR86/zrOJaa07z/uBi5eHtQtwnytyiM3nyZJYvX87s2bPp0KEDiqKwfft23n33XQoLC5k5c6Y5cgohxG2t8DjLfzxt8L2iQw3Y6nQlT1CpICgIOnWySj4AYnfDxW2gtoUOI62XQ4j7TJkLnc8//5zo6Gh69+59fV9YWBiBgYEMHz5cCh0hhMUoisKnhz5l6ZGlHOnrz7xFcRj4V1O16mq7zvz51u2IfK01J+xFcA+yXg4h7jNlfnWVkZFB/fr1b9pfv359MjIyTBJKCCHuRlEUPtr3EUuPLAXA6ak3GPrkW6S4eZc8MSgIfvgBnn7aCimvSj4KZ9eBSg0dx1gvhxD3oTK36ISFhbFo0SIWLlxYYv+iRYsICwszWTAhhLgdg2LgvV3v8f2Z7wGY2HoiG3c9wOZ6qQQPeJEp7unGjsf+/sbXVdYeUn5tTauGT0K12tbNIsR9psyFzocffkivXr3YuHEj7dq1Q6VSsWPHDuLi4li7dq05MgohxHU6g453tr/DLxd+QYWKae2n0cyzB1PObAHg5Q61wLuxdUP+U8YFOL7auN1xtHWzCHEfKvOrqy5dunDmzBmeeuopMjMzycjI4Omnn+b06dN0smZHPyFElVesL2b81vH8cuEXNCoNszvN5qkHnuKrXZdQFOhaz4ca3pVspuEdn4BigDqPgL+0egthaeVaAiIgIEA6HQshLKpQV8jYLWPZlrANW7UtH3X5iIdCHqJAq+e7fXEA9G9Xw7oh/y3nMhxcZdzuONa6WYS4T5Wq0Dly5Eipb9ikSZNyhxFCiFvJL85n5J8j2Z28G3uNPQu6LaBDYAcA1hxOILtQR4iXE13qVrK5aXZFgr4IglpDaHtrpxHivlSqQqdp06aoVCruttC5SqWq9KuXCyHuLTnaHIZvHM6h1EM42Tix6OFFtKreCjCOvPpi5yUAXm4bglp90xSB1lOQCXuXG7c7jb0xzF0IYVGl6qMTExPDhQsXiImJuePHhQsXyhwgMjKSmjVr4uDgQIsWLdi2bdsdz8/MzGTEiBH4+/vj4OBAgwYNpBO0EFXUlcIrDFo3iEOph3C1cyWqR9T1IgfgUFwmxxOzsbNR81yLYCsmvYV9y0GbAz4N4IFHrZ1GiPtWqVp0nnrqKTZt2oSnpyfTp09n3LhxODk5Vfjh3377LaNHjyYyMpIOHTqwdOlSevbsyYkTJwgJCbnpfK1WS/fu3fH19eWHH34gKCiIuLg4XF1dK5xFCFG5pBWkEbE+gnOZ5/By8GJZ92XU86pX4pwvdxlbcx5v4o+ns501Yt5acQHsWmzc7jgG1GUe9yGEMBGVcrf3UYCjoyNnz54lKCgIjUZDUlISvr6+FX54mzZtaN68OYsXL76+r0GDBjz55JPMmjXrpvOXLFnCnDlzOHXqFLa2tuV6ZnZ2Nu7u7mRlZckK7EJUUsl5yYSvD+dS9iV8HX2J6hFFLY9aJc65kqelzaxNaHUGfhrenmYhlWgl8D1RsHYcuIfAyAOgKd/PKyHEDeX9/V3qPjqvvvoqHTt2NM5G+tFHuLi43PLcd955p1QP1mq17N+/n4kTJ5bY36NHD3bs2HHLa9asWUO7du0YMWIE//d//4ePjw99+vRhwoQJaG4zIVhRURFFRUXXP8/Ozi5VPiGEdcRlxxG+PpzEvEQCnAOI7hFNsNvNr6W+3x+HVmegUaAbTYM9rJD0NvQ62HF1QtX2r0uRI4SVlarQ+eyzz5g6dSq//vorKpWK33//HRubmy9VqVSlLnTS0tLQ6/X4+fmV2O/n50dycvItr7lw4QJ//vknffv2Ze3atZw9e5YRI0ag0+lu+9xZs2Yxbdq0UmUSQljX+czzRKyPILUglVC3UKJ7RFPdufpN5xkMCl/tigXg5TahqCpTR98TP0NmLDhVg2YvWzuNEPe9UhU69erV43//+x8AarWaTZs2meTVFXDTDyhFUW77Q8tgMODr68uyZcvQaDS0aNGCxMRE5syZc9tCZ9KkSYwde2P+iuzsbIKDK1mnRSEEpzJOMXj9YK4UXaGORx2iekTh7eh9y3O3nk0lNiMfVwcbejcNsHDSO1CUG8s9tBkKdhXvyyiEqJgyTxhoMBhM8mBvb280Gs1NrTcpKSk3tfJc4+/vj62tbYnXVA0aNCA5ORmtVoud3c2dEe3t7bG3tzdJZiGEeRxJPcLQjUPJ0ebQsFpDlj6yFA+H27+Outaa82yLIJzsyjXvqXmc3wSXj4KtM7QKt3YaIQTlWALCVOzs7GjRogUbNmwosX/Dhg20b3/ribU6dOjAuXPnShRbZ86cwd/f/5ZFjhCi8tubvJeI9RHkaHNo6tOU6B7Rdyxy4q/k8+epywD0bRNqqZilc601p0V/cPKybhYhBGDFQgdg7NixREdHs2LFCk6ePMmYMWOIjY1l6NChAPTr149JkyZdP3/YsGGkp6czatQozpw5w2+//cb777/PiBEjrPUlCCEqYHvCdoZtHEa+Lp821duwtPtSXO3uPF3EN3tiMSjQvnY16vjeelCEVcTvh4vbQG0D7eRnkhCVhVXbfF944QXS09OZPn06SUlJNGrUiLVr1xIaavwrLTY2FvU/5p8IDg5m/fr1jBkzhiZNmhAYGMioUaOYMGGCtb4EIUQ5bYrdxJt/vUmxoZjOQZ35uMvHONg43PEarc7At3vjAXi5bSVrzdk+z/hv4+fBPci6WYQQ15VqHp2qRObREcL61l5Yy1t/v4Ve0dM9tDsfdPoA21IMw/7tSBIjvj6Aj6s9OyY+hK2mkkzEl3YWFrUCFBi+G3zrWzuREFVOeX9/V5KfEkKI+8Xqs6uZuG0iekVP79q9+bDzh6UqcgBW7TbOhPxiq+DKU+QAbF8AKFC3pxQ5QlQypXp15enpWep5KjIyMioUSAhRda06uYrZe2YD8Hzd55ncdjJqVekKlvOpuew4n45aBS+2vnmJGKvJToIj3xq3O462bhYhxE1KVejMnz/f3DmEEFVc9NFoFhxYAEC/hv0Y13JcmSb6+2a3cUh5t3q+BHo4miVjuexeDHotBLeFkLbWTiOE+JdSFTr9+/c3dw4hRBWlKAqfHPyEqKNRAAwNG8rwsOFlKnIKi/X8cMDYCblv20rUmlOYBftWGrelNUeISqlCo64KCgooLi4usU86+AohrlEUhQ/3fshXJ78CYEyLMQxsNLDM91l7NInM/GICPRzpUtc0s7KbxP7PoCgbfOrDA49aO40Q4hbK3JsvLy+P1157DV9fX1xcXPD09CzxIYQQAAbFwPRd068XOZNaTypXkQOw6uprqz5tQtCoK8m6Vroi2Blp3G4/EtSVqHO0EOK6Mn9njh8/nj///JPIyEjs7e2Jjo5m2rRpBAQE8MUXX5gjoxDiHqMz6Jj892R+OPMDapWa6e2n06dBn3Ld62RSNvsvXcFGreK5lpVofpoj30FuMrj6Q+PnrJ1GCHEbZX519csvv/DFF1/QtWtXBg4cSKdOnahTpw6hoaGsWrWKvn37miOnEOIeUawvZsK2CWy4tAEblQ2zOs3isZqPlft+14aUP/pgdXxd7zyhoMUYDLBjoXG77XCwkSVohKisytyik5GRQc2aNQFjf5xrw8k7duzI1q1bTZtOCHFPKdQVMmrzKDZc2oCt2pa5XedWqMjJK9Lx88FEAPq2qUSdkM/8DmlnwN4dWgywdhohxB2UudCpVasWFy9eBKBhw4Z89913gLGlx8Pj9gvxCSGqtvzifEZsGsG2hG04aBxY9NAiuoV0q9A91xxOJLdIR01vZ9rVrmaipCaw3ThMnlYDwUEGYAhRmZW50Hn11Vc5fPgwAJMmTbreV2fMmDG8+eabJg8ohKj8srXZDN4wmD3Je3C2dWZJ9yW0D2xf4ftee23Vp3VImYajm1XsLojbDRo7aDPU2mmEEHdR5j46Y8aMub7drVs3Tp06xb59+6hduzZhYWEmDSeEqPyuFF5hyIYhnMw4iaudK0sfWUpjn8YVvu+R+EyOJWRjp1HzTItK1An576sTqIa9BK7VrZtFCHFXFV69PCQkhJCQSvTuXAhhMan5qQzeMJhzmefwcvBiWfdl1POqZ5J7f311SHnPxtXxcq4knX1TThn756CC9q9bO40QohTKVehs2rSJTZs2kZKSgsFgKHFsxYoVJgkmhKjcknKTCF8fTmxOLL6OvkQ9GkUt91omuXdOYTFrDhs7IfepTOta7fjE+G/9XuD9gHWzCCFKpcyFzrRp05g+fTotW7bE39+/8rw3F0JYTGx2LOHrw0nKSyLQJZCoHlEEuwab7P4/H0okX6unjq8LrWt6mey+FZKd+I/FO8fc+VwhRKVR5kJnyZIlfPbZZ7zyyivmyCOEqOTOZ54nYn0EqQWp1HCrQVSPKKo7m66viqIo119bvVSZOiHvWgyGYgjtAEEtrZ1GCFFKZS50tFot7dtXfDSFEOLeczL9JEM2DOFK0RXqeNQhqkcU3o7eJn3GwbhMTiZlY2ej5pnmgSa9d7kVZN5YvLPDKOtmEUKUSZmHl4eHh/P111+bI4sQohI7nHqYQesGcaXoCg9We5CVj640eZEDNzohP97EHw+nStIJef9K0OaATwOo093aaYQQZVDmFp3CwkKWLVvGxo0badKkCba2tiWOz50712ThhBCVw97kvby26TXydfk0823Gpw9/iqudq8mfk1VQzK9HKtlMyLoi42srgA6yeKcQ95oyFzpHjhyhadOmABw7dqzEsUrzLl0IYTJ/J/zN6M2jKdIX0da/LQu6LcDJ1sksz/rpQDyFxQbq+bnSPMTTLM8osyPfQu5lcAuERs9aO40QoozKXOhs3rzZHDmEEJXQpkubGLd1HDqDji5BXfi468fYa+zN8ixFUfh6j/G1VZ82laQTssEA22XxTiHuZRVqg42PjychIcFUWYQQlchvF37jjb/eQGfQ8WiNR5nXbZ7ZihyA/ZeucOZyLg62ap5sVkk6IZ9eC+lnry7e2d/aaYQQ5VDmQsdgMDB9+nTc3d0JDQ0lJCQEDw8PZsyYcdPkgUKIe9OPZ35k0rZJ6BU9vWv35oNOH2Crtr37hRVwrRPyE00CcHc077NKRVFg+9XlHloNAnvT90kSQphfmV9dTZ48meXLlzN79mw6dOiAoihs376dd999l8LCQmbOnGmOnEIIC/nqxFd8sPcDAF6o9wJvtXkLtcq8HXAz87X8ejQJML62qhRid0L8XtDYQ9th1k4jhCinMhc6n3/+OdHR0fTu3fv6vrCwMAIDAxk+fLgUOkLcw6KORLHwoLFPyoAHBzC2xViL9JX58UACWp2BBv5uNA32MPvzSuXa4p1N+4CLr3WzCCHKrcyFTkZGBvXr179pf/369cnIyDBJKCGEZSmKwicHPyHqaBQAw8OGMzRsqEWKHONMyJeAStQJ+fIJOLsOWbxTiHtfmdujw8LCWLRo0U37Fy1aRFhYmElCCSEsR1EUPtz74fUiZ2yLsQxrOsxiBceemAzOp+bhZKfhyaYBFnnmXW1fYPy3YW+oVtu6WYQQFVLmFp0PP/yQXr16sXHjRtq1a4dKpWLHjh3ExcWxdu1ac2QUQpiJ3qBnxq4Z/Hj2RwAmt5nMi/VftGiGa0PKe4cF4OpQCTohZ8bBsR+M27LcgxD3vDK36HTp0oUzZ87w1FNPkZmZSUZGBk8//TSnT5+mU6dO5sgohDADnUHH5O2T+fHsj6hVamZ0mGHxIicjT8vvR5MB6Nsm1KLPvq1dkWDQQY1OENjC2mmEEBVU5hYdgICAAOl0LMQ9TKvXMn7reDbFbsJGZcOsTrN4rOZjFs/x4/54tHoDjQPdaRzkbvHn3yQ/A/Z/btzuONq6WYQQJlGqQufIkSM0atQItVrNkSNH7nhukyZNTBJMCGEehbpCRm8ZzfaE7diqbZnbdS5dg7taPIeiKHzzj5mQK4W9y6E4D/waQ+2HrZ1GCGECpSp0mjZtSnJyMr6+vjRt2hSVSoWiKDedp1Kp0Ov1Jg8phDCNvOI8Xv/zdfYm78XRxpEF3RbQLqCdVbLsvJDOhbQ8XOxt6B1WCToha/Nh9xLjdodRUBlGfwkhKqxUhU5MTAw+Pj7Xt4UQ955sbTbDNg7jSOoRnG2diXw4kuZ+za2WZ9XVmZD/2zQAZ/tyvUU3rUOrID8NPELgwaesnUYIYSKl+ukSGnqjk+ClS5do3749NjYlL9XpdOzYsaPEuUKIyiGjMIMhG4ZwKuMUbnZuLO2+lEbejayWJzWniPXHK1EnZL0OdlxdvLP9SNBUgsJLCGESZR511a1bt1tODJiVlUW3bt1MEkoIYTqp+akM/GMgpzJO4eXgxYpHV1i1yAH4fn8cxXqFpsEeNAxws2oWAI7/BJmx4OQNTftaO40QwoTK/GeLoii3nEgsPT0dZ2dnk4QSQphGYm4i4evDicuJw9fJl+ge0dR0r2nVTAbDjU7IfStDJ2RFgb/nGbfbDgU7J+vmEUKYVKkLnaeffhowdjgeMGAA9vb214/p9XqOHDlC+/btTZ9QCFEul7IvEb4+nOS8ZAJdAonuEU2Qa5C1Y7HtXBpxGQW4OtjweJNK0An57AZIOQ52LtAq3NpphBAmVupCx93dOMeFoii4urri6Oh4/ZidnR1t27YlIiLC9AmFEGV27so5IjZEkFaQRg23GkT1iKK6c3VrxwK4vq7VM82DcLTTWDkNsP3q4p0tBoCjp1WjCCFMr9SFzsqVKwGoUaMGb775Jk5O0rwrRGV0Iv0EQzYMIbMok7qedVnafSnejt7WjgXA5exCNp5MASrJa6vY3XBpO6htod0Ia6cRQphBmTsj9+vXj4SEhJv2nz17losXL5oikxCinA6lHCJ8XTiZRZk0qtaIFY+uqDRFDsC3e+PQGxRa1fDkAT9Xa8e50ZoT9iK4VYLXaP/P3n2HR1G1fRz/bjaV9BBIQgglSO+9hiIQwIaggkpRHmmK0uRBeBQpCiggRaUmCFbAAoq+tFACgdAJTUInhBIIBNLLbnbn/WMlGgHNht2dlPtzXbmYnZ3d88sQsjdnzpwjhLA4swudV199lejo6Pv279+/n7lj+ZsAACAASURBVFdffdUSmYQQhXAg4QBDI4aSpk+jSfkmhIWG4elUBJZV+IPBqLA6bxByEbilPPE0nNkAaGTxTiFKMLMLnZiYGNq2bXvf/latWnH06FGLhBJCmCfqahRvbHuDrNwsWge0ZnGXxbg5uqkdK5/IM4lcT8nGu4wD3esVgfFC93pzaj8FvtXVzSKEsBqzCx2NRkNaWtp9+1NSUmT5ByFUsPXyVkbuGEmOIYeOFTvyWefPKONQ9MbQ3ZsJ+fmmFXF2UHkQ8t3LcPx703a7sepmEUJYldmFTkhICDNnzsxX1BgMBmbOnEm7du0sGk4I8c9+vfAr43aOI9eYS/cq3ZnbaS5OWqd/f6GNXb2byY4zpkHIL7UoAoOQoz8DxQDBnSBQvWUwhBDWZ/aEgbNmzaJ9+/bUrFmTkJAQAKKiokhNTWX79u0WDyiEeLAfzv7AB3s/QEGhZ7WeTG0zFa1dEbhd+wFWHYhHUaDtY2UJLqfyJbX0RIj52rQdIr05QpR0Zvfo1KlTh+PHj9OnTx8SExNJS0tj4MCBnD59mnr11J1WXojS4utTXzNt7zQUFF6s+SLT2k4rskWOLtfImoNXAOhfFAYh71sEudlQsTlUCVE7jRDCygq1cl2FChWYMWOGpbMIIQpg2fFlfBbzGQCD6g1iTJMxD1yWpajYcuoGt9N1lHd3oksdP3XDZCXDgXDTdruxUITPmxDCMgq9RG9mZibx8fHodLp8+xs0aPDIoYQQ91MUhU9jPiX8hOmD+o1GbzC8wfAiXeQAfLPPNBPyi82DcNCa3YlsWQfDQZcG5etAje7qZhFC2ITZhc6tW7cYNGgQGzdufODzcueVEJZnVIzMOjiLb2O/BWBcs3G8UvcVlVP9u/OJaey7eAc7Dbyo9iBkXSbsW2zabjcG7FQuuoQQNmH2v/TRo0dz9+5d9u3bh4uLC5s2beLLL7+kevXqrF+/3hoZhSjVDEYD0/ZOyyty3mv5XrEocuDPW8ofr+VHBS+XfznaymK+hszb4FUZ6vZWN4sQwmbM7tHZvn07v/zyC82bN8fOzo7KlSvTtWtXPDw8mDlzJk8++aQ1cgpRKumNet7b/R4bLm3ATmPHtDbT6PlYT7VjFUiWzsBPh68C0L+Vyr05uTrTLeVgmgVZW+ir9kKIYsbsHp2MjAzKly8PgI+PD7du3QKgfv36HDlyxLLphCjFdAYd4yLHseHSBuw19sxqP6vYFDkAvx67Tmp2LkE+LrSvXk7dMMfXQMoVcPODRv3UzSKEsCmzC52aNWty5swZABo1asTSpUu5du0aS5YsISAgwOIBhSiNsnKzGLljJNuvbMfRzpH5nebTrUo3tWOZ5dv9pkHIL7eojJ2digOmDbmwe65pu81IcHBWL4sQwubM7r8dPXo0CQkJAEyePJlu3brx7bff4ujoyMqVKy2dT4hSJ0OfwZvb3uTQzUO42LuwoNMCWldorXYss5y4msKxqyk4au3o06yiumF+Xwd3LoKLDzQbpG4WIYTNmV3o9Ov3Z7dv48aNiYuL4/Tp01SqVAlfX1+LhhOitEnJSeGNrW9w/PZx3BzcWNh5IU38it8SBV/viwOgR31/yrqpuCSF0QhRc0zbrd8AR1f1sgghVGHWpSu9Xk9wcDCnTp3K21emTBmaNGkiRY4Qj+hO9h0GbxnM8dvH8XTyJDw0vFgWOcmZOn45eh2AAa1Ungn5zP/BrdPg5AkthqqbRQihCrMKHQcHB3Jyciw+QdmiRYuoWrUqzs7ONG3alKioqAK9bvXq1Wg0Gp599lmL5hHC1hIzExm0aRCn75ymrHNZvuj2BXV966odq1B+PHyVnFwjtQM8aFrZW70gigK7Zpu2Ww4FZ0/1sgghVGP2YOS33nqLjz/+mNzcXIsEWLNmDaNHj+bdd98lJiaGkJAQevToQXx8/D++7vLly4wbNy5vYVEhiqtr6dd4ZeMrXEy5iF8ZP1Z2X0kN7xpqxyoUo1Hh6z9mQh7YurK6szaf3woJx8ChDLR8Xb0cQghVmT1GZ//+/Wzbto0tW7ZQv359XF3zX/Neu3atWe83d+5cXnvtNQYPHgzA/Pnz2bx5M4sXL2bmzJkPfI3BYKBfv35MnTqVqKgokpOTzf02hCgSLqdeZvCWwdzIuEFFt4qEdwsn0C1Q7ViFtuvcLS4nZeLubE/PRhXUC/LX3pxm/wHXsuplEUKoyuxCx8vLi+eee84ijet0Og4fPsyECRPy7Q8NDSU6Ovqhr5s2bRrlypXjtddeK/BlLiGKmnN3zzFkyxCSspOo6lmVsK5h+LmqvOjlI7q3rtXzTStSxlHFSfnidsOV/aB1gjZvqZdDCKG6Av0mWr9+PT169MDBwYEVK1ZYrPHbt29jMBjw88v/y93Pz48bN2488DV79uxh+fLlHD16tEBt5OTkkJOTk/c4NTW18IGFsJDfk35neMRwknOSqeFdg2Vdl1HWpXj3Oly5k8m204kA9Fd7EPLOj01/NhkA7v7qZhFCqKpAY3R69eqVd3lIq9WSmJho0RB/v46vKMoDr+2npaXRv39/wsLCCnyX18yZM/H09Mz7CgoKskhmIQrraOJRBm8eTHJOMvV96/NFty+KfZED8N2BeBQF2j3mS7VybuoFuRwNcVFg52BavFMIUaoVqNApV64c+/btAx5ehBSGr68vWq32vt6bxMTE+3p5AC5cuEBcXBxPP/009vb22Nvb89VXX7F+/Xrs7e25cOHCfa+ZOHEiKSkpeV9XrlyxSHYhCmN/wn6GRgwlXZ9OU7+mLOu6DE+n4n83ULbewJqDpn9bA1qr3JsT+ZHpz8b9wVPlyQqFEKor0KWr4cOH07NnTzQaDRqNBn//h3cFGwyGAjfu6OhI06ZNiYiIoFevXnn7IyIi6Nnz/jV9atWqxYkTJ/Lte++990hLS2PBggUP7K1xcnLCyUnFCcuE+MOuq7sYs2MMOqOONhXaML/TfFzsVV7R20I2nEjgToaOCp7OdK5VXr0g8fvg0k5Tb07IWPVyCCGKjAIVOlOmTOHFF1/k/PnzPPPMM6xYsQIvLy+LBBg7diwDBgygWbNmtG7dmmXLlhEfH8/w4cMBGDhwIIGBgcycORNnZ2fq1auX7/X3cvx9vxBFScTlCMbvGk+uMZdOQZ2Y02EOjlpHtWNZzL1byl9uWQl7rdmzVljOvbE5jV4GL5VXTBdCFAkFvi2iVq1a1KpVi8mTJ/PCCy9QpkwZiwTo27cvSUlJTJs2jYSEBOrVq8eGDRuoXNnU/R0fH4+dnYq/OIV4RL9e+JX39ryHUTHSo0oPpodMx8HOQe1YFnP8ajIx8ck4aDX0ba5icXHlIFzYDnb2EPK2ejmEEEWKRlEURe0QtpSamoqnpycpKSl4eHioHUeUcN+f+Z4P932IgkKvx3oxufVktHZatWNZ1Njvj7L2yDV6NQ5kXt9G6gX55jnTJIGNB0DPz9XLIYSwisJ+fqs40YUQJdtXv3/F7EOmSeteqvUSE1pMwE5Tsnonb6fn8NuxBABebVNFvSBXD5uKHI1WenOEEPlIoSOEhSmKwrLjy/j8qKlX4T/1/sPoJqPVXQ7BSlbtj0dnMNIoyIuGQZYZt1co98bmNHwRfKqql0MIUeRIoSOEBSmKwoIjC1h+cjkAbzZ6k6ENhpbIIkdvMPLNftMgZNV7c85tBo2d9OYIIe5jVj+6Xq+nU6dOnD171lp5hCi2jIqRjw58lFfk/LfZfxnWcFiJLHIANp28wc3UHMq5O/FE/QD1gkTOMP3Z8CUoW029HEKIIsmsHh0HBwdOnjxZYn9xC1FYBqOBqXunsu78OjRoeK/Ve/Sp2UftWFb1ZXQcAC+3qISjvUpjj+L3m8bm2NlD+/+qk0EIUaSZ/dtp4MCBLF++3BpZhCiW9EY9E3dPZN35ddhp7JjebnqJL3JOXkvh0OW72Ntp6NdSxVvKd0w3/dmon4zNEUI8kNljdHQ6HeHh4URERNCsWTNcXV3zPT937lyLhROiqNMZdIzbOY4dV3Zgr7Hn4/YfE1olVO1YVrfyj96cJxsEUN7DWZ0Qcbv/nAW5/Th1MgghijyzC52TJ0/SpEkTgPvG6sglLVGaZOVmMXrHaKKvR+No58i8TvNoX7G92rGsLik9h/XHrgPwilqDkBUFdvwxNqfJQJkFWQjxUGYXOjt27LBGDiGKlQx9BiO2jeDwzcO42Lvw2eOf0TKgpdqxbGLVgXh0uUYaVvSksVq3lF/aCZf3gNZJ7rQSQvyjQo8gPH/+PJs3byYrKwsw3VYrRGmQkpPCkC1DOHzzMG4ObizruqzUFDm6XCNf7f3jlvK2VdTpxVUU2P7H2Jxmg8Az0PYZhBDFhtmFTlJSEp07d6ZGjRo88cQTJCSYZkUdPHgwb78t/7MSJVtSVhKvbX6NE7dP4OnkSXi3cBqVV3HZAxv7vxPXSUzLoby7E0/Wr6BOiPPb4OoBsHeGdmPUySCEKDbMLnTGjBmDg4MD8fHx+Rb27Nu3L5s2bbJoOCGKkpsZNxm0eRBn7p6hrHNZVnRbQd2yddWOZTOKorB89yXANDZHlVvKFQW2TzNtNx8M7v62zyCEKFbMHqOzZcsWNm/eTMWKFfPtr169OpcvX7ZYMCGKkmvp1xi8eTBX06/i7+pPeGg4lT0qqx3Lpg5cusPJa6k4O9jxcguVBv+e+gUSjoGjm/TmCCEKxOxCJyMjI19Pzj23b9/GycnJIqGEKEriUuIYvGUwNzNvUtGtIsu7LaeCm0qXbVR0rzend5OKeLs62j6AIRe2f2jabj0CXH1tn0EIUeyY3ffcvn17vvrqq7zHGo0Go9HI7Nmz6dSpk0XDCaG2c3fP8eqmV7mZeZNgz2C+7PFlqSxyLidlEBF7E4D/tK2iTohjqyDpHLj4QOs31ckghCh2zO7RmT17Nh07duTQoUPodDrGjx/P77//zp07d9izZ481Mgqhit+TfmdYxDBSclKo5VOLpV2X4uPso3YsVazYE4eiQIca5XisvLvtA+TmQORHpu2QseDsYfsMQohiyewenTp16nD8+HFatGhB165dycjIoHfv3sTExFCtmiyoJ0qGmMQYBm8eTEpOCg18GxAeGl5qi5zUbD0/HLoCwGvtVFpm4dAXkHoV3CuYBiELIUQBmd2jEx8fT1BQEFOnTn3gc5UqyQylonjbl7CPkdtHkpWbRVO/pizsvBBXB9d/f2EJtebAFTJ0Bmr4uRFSXYVxMTlpsGuOabvDeHBwsX0GIUSxZXaPTtWqVbl169Z9+5OSkqhaVRbVE8Xbrqu7GLF1BFm5WbSt0JbFXRaX6iIn12DMW9fqP22rqjNB4L4lkHkbfIKhcX/bty+EKNbMLnQURXngL7v09HScnVVa3E8IC9gct5lR20ehM+p4POhxPn38U1zsS3fvwYaTN7iWnIWPqyPPNlZhBuLMOxD9qWm707ugdbB9BiFEsVbgS1djx44FTHdZTZo0Kd8t5gaDgf3799OoUemZIVaULOsvrGfSnkkYFSM9qvZgervpONiV7g9VRVFYtusCAK+0roKzg9b2IXbNhpxU8KsPdXvbvn0hRLFX4EInJiYGMP3yO3HiBI6Of86j4ejoSMOGDRk3bpzlEwphZd+f+Z4P9n0AQO/qvXm/1fto7VT4UC9i9l5IypsgcEBrFSZHvBsHB8JM26HTwE6FmZiFEMVegQude6uWDxo0iAULFuDhIbd3iuLvy9+/ZM4h00DXfrX7Mb75eOw08oEKsHTXRQD6NAvCR40JArd9AEY9BHeCao/bvn0hRIlg9l1XK1assEYOIWxKURSWHF/CoqOLABhcfzAjG49UZ7BtERSbkMrOs7ew08DgdsG2D3DtCJz8EdBA1/vv8BRCiIIyu9ABOHjwID/88APx8fHodLp8z61du9YiwYSwFkVRmHdkHitOmor2txq/xdAGQ1VOVbSE/dGb06NeAJXK3r/ki1UpCkS8b9pu0BcCGtq2fSFEiWJ2H/3q1atp27Ytp06dYt26dej1ek6dOsX27dvx9PS0RkYhLMaoGJl5YGZekTO++Xgpcv7menIW649dB2BoexV6c85FQFwUaJ3g8Xdt374QokQxu9CZMWMG8+bN47fffsPR0ZEFCxYQGxtLnz59ZLJAUaQZjAYmR09m1elVaNDwfuv3GVBngNqxipwVey6Ra1RoFexDwyAv2zZuNPzZm9NyGHjJ7xQhxKMxu9C5cOECTz75JABOTk5kZGSg0WgYM2YMy5Yts3hAISxBb9QzIWoCP5//Ga1Gy/R203mhxgtqxypyUrP1rDpgWu5hWHsVlnQ5+h3cigVnL9OaVkII8YjMLnR8fHxIS0sDIDAwkJMnTwKQnJxMZmamZdMJYQE5hhzGRo5lU9wm7O3smd1hNk9Xe1rtWEXSt/viSc/JpYafGx1rlrNt4znpsN10mz/tx4GLt23bF0KUSGYPRg4JCSEiIoL69evTp08fRo0axfbt24mIiKBz587WyChEoWXlZjFq+yj2JuzFSevE3I5zaV+xvdqxiqRsvYHluy8BMLR9NdvfgbZnPqTfBO8q0ELGTQkhLMPsQufzzz8nOzsbgIkTJ+Lg4MDu3bvp3bs3kyZNsnhAIQorXZfOiG0jOJJ4BBd7Fz5//HNaBLRQO1aR9f2hK9xOzyHQy4WejSrYtvHkeIj+zLQd+iHYO9m2fSFEiWV2oePj45O3bWdnx/jx4xk/frxFQwnxqFJyUhgeMZyTSSdxd3BnUZdFNCovS5Q8jN5gZOlO0y3lwzoE46C18aSJW6dAbjZUbge1nrJt20KIEs3s32b9+vUjLCyMs2fPWiOPEI8sKSuJ/2z+DyeTTuLl5EV4t3Apcv7FzzHXuJacha+bE32aBdm28fj9cPInQAPdZ4BM2iiEsCCzCx03Nzc++eQTatWqRYUKFXjppZdYsmQJp0+ftkY+IcxyM+Mmr256lbN3z+Lr4suKbiuoU7aO2rGKNINRYfFO0+Kdg0Oq2nbxTqMRNk80bTfuL5MDCiEszuxCZ+nSpZw+fZrr168zd+5cPD09WbBgAXXr1iUgIMAaGYUokKtpV3ll0yvEpcbh7+rPyu4recz7MbVjFXmbTt7g4q0MPJzt6d/Kxot3nvgBrh0GRzd4XMb4CSEsr1BLQAC4u7vj7e2Nt7c3Xl5e2Nvb4+/vb8lsQhTYpZRLDNkyhJuZNwlyDyI8NJwKbjYeUFsMKYrCwh3nAXi1bVXcnAr9K8F8ugzT2BwwzZnj7me7toUQpYbZPTrvvPMOrVq1wtfXl/feew+dTsfEiRO5efMmMTEx1sgoxD86c+cMr256lZuZN6nmWY0vu38pRU4BRZ65xamEVMo4ahnUpoptG4+aC2nXwbMStBph27aFEKWG2f99mz17NuXKlWPy5Mn07NmT2rVrWyOXEAVy8vZJhkUMI1WXSi2fWiztuhQfZ59/f6FAURQ+/6M3p1/LSni7Otqu8aQLEP2pabv7DHBwtl3bQohSxexCJyYmhp07dxIZGcknn3yCVqulQ4cOdOzYkY4dO0rhI2zmyM0jvLHtDTL0GTQo14DFXRbj4eihdqxiY++FJA5fvouj1o4hITZcvFNRYOM7YNBBtcfldnIhhFWZXeg0bNiQhg0bMnLkSACOHTvG/PnzGTlyJEajEYPBYPGQQvzd3ut7GbVjFFm5WTT3b85nj3+Gq4Or2rGKDUVRmLfVNEXESy2CKO9hwx6VMxvhfATYOUCP2XI7uRDCqgo18jAmJobIyEgiIyOJiooiNTWVRo0a0alTJ0vnE+I+kVcieTvybXRGHW0D2zK/43yc7eXShzn2nE/iYNxdHO3teL2jDe9M02fBpndM223eBF+5K04IYV1mFzre3t6kp6fTsGFDOnbsyJAhQ2jfvj0eHnLJQFjfprhNTNw1kVwll86VOjOr/SwctTYcW1IC/LU35+UWlfD3tGGRuGeBabkHj0Bo/1/btSuEKLXMLnS+/vprKWyEKn45/wvvR7+PUTHyZPCTfNj2Q+ztbHg7dAkRde42hy/fxcnejtc7VrNdw3fjYPc803boh+AolxqFENZn9qfEU0/JwEFhe6tPr2b6/ukAPFf9OSa1moTWzoYz+JYQ+XpzWlbCz1ZjcxQFNk4wrWdVtT3U7WWbdoUQpZ78d1gUeStPruSTw58A0L92f8Y3H49GBrAWys6zt4iJTzb15nSwYW/O6d/g7EYZgCyEsDkpdESRpSgKS44tYdGxRQAMqT+Etxq/JUVOISmKwvyt5wDo36qy7e60yk6FDeNN221HQflatmlXCCGQQkcUUYqiMO/wPFb8vgKAkY1HMqTBEJVTFW+RZ29x9Eoyzg52DLdlb872D00zIPsEQ/txtmtXCCGQQkcUQUbFyIz9M1hzZg0A7zR/h/51+qucqngzGhXmbjGNzRnQqjLl3J1s0/C1w3BgmWn7ybng4GKbdoUQ4g9S6IgixWA0MDl6Mr9c+AUNGt5v/T7P13he7VjF3saTNzhxLQVXR63tenMMufDrKECBBn2hmsyzJYSwPSl0RJGhN+qZGDWRzXGb0Wq0fNjuQ54Klrv8HpXeYGTOljMADGkfTFk3G/Xm7F8MN06Aizd0m2GbNoUQ4m+k0BFFQo4hh3GR44i8Gom9nT1z2s+hc+XOascqEX44dJVLtzMo6+rIYFutaXX3Muz4o7jp+gG4+tqmXSGE+BspdITqMvWZjNoxin0J+3DSOjG/03zaBbZTO1aJkKUzsGCbaWzOm48/hpuTDf7JK4rpkpU+Eyq3g8YyvkoIoR4pdISq0nXpjNg2giOJR3Cxd2Fh54U092+udqwSY2V0HDdTc6jo7cLLLSvZptEjX8HFHWDvDM98KnPmCCFUJYWOUE1KTgrDIobxe9LvuDu4s7jrYhqWa6h2rBIjJVPP4sjzAIztWgMnexvMJJ1yFTa/a9p+fBKUteFt7EII8QBS6AhV3M66zdCIoZy7ew5vJ2+Wdl1K7bK11Y5VoizZdYHU7Fxq+rnTs1Gg9Ru8d8lKlwYVW0Cr163fphBC/AspdITN3ci4wZAtQ4hLjaOcSznCQsOo5iX/87ekGynZrNhzCYD/dquJ1s4Gl4+Ofgfnt4LWCXouBFmLTAhRBEihI2zqStoVhmwZwrX0awS4BhAeGk4lDxuNHSlFZm8+Q7beSLPK3nSuXd76DaZeh00TTdud/gflali/TSGEKAA7tQMALFq0iKpVq+Ls7EzTpk2Jiop66LFhYWGEhITg7e2Nt7c3Xbp04cCBAzZMKwrrYspFXt30KtfSr1HJvRJfdv9SihwrOHE1hZ+OXAVg0lN1rL82mKLAb2MgJwUqNIHWb1q3PSGEMIPqhc6aNWsYPXo07777LjExMYSEhNCjRw/i4+MfeHxkZCQvvfQSO3bsYO/evVSqVInQ0FCuXbtm4+TCHGfunGHQpkEkZiZSzbMaK7uvJMAtQO1YJY6iKEz77XcAejUOpGGQl/UbPbwSzm4CrSM8uwi00lEshCg6NIqiKGoGaNmyJU2aNGHx4sV5+2rXrs2zzz7LzJkz//X1BoMBb29vPv/8cwYOHPivx6empuLp6UlKSgoeHh6PlF0UzMnbJxkWMYxUXSq1fWqztOtSvJ291Y5VIm04kcAb3x7B2cGOHeM6EuBp5bWlki7AknamOXNCP4Q2b1m3PSFEqVXYz29Ve3R0Oh2HDx8mNDQ03/7Q0FCio6ML9B6ZmZno9Xp8fHwe+HxOTg6pqan5voTtHL55mMFbBpOqS6VhuYaEdwuXIsdKsvUGZm6MBWBY+2rWL3IMelg7xFTkVAmBViOs254QQhSCqoXO7du3MRgM+Pn55dvv5+fHjRs3CvQeEyZMIDAwkC5dujzw+ZkzZ+Lp6Zn3FRQU9Mi5RcFEX49meMRwMvQZtPBvwbKuy/BwlF40a1mxJ44rd7Lw83BiWAcbLPWwa45pdXJnT+i1BOxUvxIuhBD3KRK/mf4+WFJRlAINoJw1axarVq1i7dq1ODs7P/CYiRMnkpKSkvd15coVi2QW/yzySiRvbnuTbEM2IYEhLOy8kDIOZdSOVWLdSsth4Q7T5IDju9WijKOVx8lcOQi7Zpu2n5wLnhWt254QQhSSqqMGfX190Wq19/XeJCYm3tfL83dz5sxhxowZbN26lQYNGjz0OCcnJ5ycbLRaswBg06VNTIyaSK6SS9fKXfk45GMctA5qxyrR5kacIT0nlwYVPenV2MqTA+akmy5ZKQao/wLUf9667QkhxCNQtUfH0dGRpk2bEhERkW9/REQEbdq0eejrZs+ezQcffMCmTZto1qyZtWMKM6w7t453ot4hV8nlqeCnmNV+lhQ5Vnb0SjKrD5p6Kic9VQc7a08OuHE83L0EHhXhiTnWbUsIIR6R6veBjh07lgEDBtCsWTNat27NsmXLiI+PZ/jw4QAMHDiQwMDAvDuwZs2axaRJk/juu++oUqVKXm+Qm5sbbm5uqn0fAladXsWM/TMAeL7G80xqNQk7TZG4OlpiGYwK7/18AkWB3k0CaV7lwYPyLeboKjj6LWjsoPdScLHB7etCCPEIVC90+vbtS1JSEtOmTSMhIYF69eqxYcMGKleuDEB8fDx2fxnkuGjRInQ6Hc8/n7+7fPLkyUyZMsWW0cVfrDi5grmH5wLQv3Z/xjcfb/2J6gTf7r/MyWupuDvbM7GHldcKu3UW/m+sabvjRKjSzrrtCSGEBag+j46tyTw6lqUoCouOLWLJsSUADG0wlDcbvSlFjg3cSsvh8U8iScvO5YOedRnQuor1GtNnQVhnSPwdqraHAT/LWlZCCJsq7Oe36j06ovhSFIVPDn3Cl6e+BGBUk1EMrj9Y5VSlx8wNsaRl51I/0JOXW1a2bmMb3zEVOa7loXe4FDlCiGJDCh1RKEbFyIz9M1hzZg0AE1pMoF/tfiqnKj32XUxibcw1NBr44Nl61l2d/MSPcORLR9nWcQAAIABJREFUQAO9l4H7P98RKYQQRYkUOsJsucZcJkdPZv2F9WjQMKXNFHpX7612rFJDbzAy6eeTALzcohKNrLme1a0z8Oso03b7cVCtk/XaEkIIK5BCR5hFb9AzIWoCWy5vQavRMqPdDJ4IfkLtWKXKsl0XOZeYjo+rI//tVtN6DWWnwOqXQZduWuKhwwTrtSWEEFYihY4osBxDDm9Hvs3OqztxsHNgdofZdK7UWe1Ypcr5xDQWbD0HwHtP1sarjKN1GjIaYe0wSDpvmi/n+RWyKrkQoliS31yiQDL1mYzcMZL9Cftx0jqxoNMC2ga2VTtWqWIwKvz3x+PoDEY61Sxn3RmQd82GsxtB6wR9vwa3ctZrSwghrEgKHfGv0nRpjNg2gpjEGMrYl+Hzzp/T3L+52rFKnRV7LhETn4y7kz0zete33i38ZzZBpGniR56aB4FNrNOOEELYgBQ64h8lZyczbOswTiWdwt3RnSVdltCg3MPXFhPWEXc7gzlbzgDwvydrE+DpYp2Gbp83rWMF0HwINJY76YQQxZsUOuKhbmfdZsiWIZxPPo+3kzfLQpdRy6eW2rFKHaNRYcLa42TrjbR9rCwvNg+yTkOZd2BVX8hJhaBW0G2GddoRQggbkkJHPNCNjBsM2TKEuNQ4yrmUIzw0nGCvYLVjlUrfHYhn38U7uDho+ah3A+tcssrVwZoBpsHHnkHQ5yuwt9JAZyGEsCEpdMR9rqRdYfDmwVzPuE4F1wqEh4YT5GGlXgTxj+JuZzBjQywA47vXJMinjOUbURTTXDmXd4OjO7y8RiYFFEKUGFLoiHwuplxkyOYhJGYlUtmjMmFdwwhwC1A7VqmkNxgZteYomToDLav6MNBaa1ntngvHvjOtSP7CSvCra512hBBCBVLoiDxn7pxhaMRQ7mTf4TGvxwgLDcPXxVftWKXWp9vOcexKMh7O9szr28g6yzz8vg62TTNt95gF1btYvg0hhFCRFDoCgBO3TjBs6zDSdGnUKVuHpV2W4uVsxaUFxD86cOkOC3ecB2BG7/pU8LLCXVaXo2HdcNN2qzegxRDLtyGEECqzUzuAUN+hG4cYEjGENF0ajco1Ijw0XIocFaVk6Rmz5ihGBZ5rUpGnGlSwfCM3TsB3L0JuNtR8AkI/tHwbQghRBEihU8pFX4vm9a2vk6HPoKV/S5Z2XYq7o7vasUq19385ybXkLCr5lGHKM3Us38CdS/DNc5CTApVaw/NfgJ3W8u0IIUQRIIVOKbY9fjtvbn+TbEM27Su25/POn1PGwQp39YgC+/HwVX45eh2tnYZ5fRvh7uxg2QbSE+HrXpB+E/zqwUurwcFKkw8KIUQRIIVOKbXx0kbGRo5Fb9TTtXJX5necj7O9s9qxSrVT11N5d90JAEZ1rk7Tyt6WbSA7Bb7pDXcvgVdl6P8TuMglSiFEySaFTim07tw63tn1DgbFwNPBTzOr/SwctBbuORBmScnS8/q3h8nJNdKhRjne7PSYZRvISYfv+prG5riWhwHrwN3fsm0IIUQRJHddlTLfxX7HzAMzAehTow/vtnoXO43Uu2oyGhXe/v4Yl5MyCfRyYX7fRthZ8lZyXQZ81wfi94KzJ/T/EcpWs9z7CyFEESaFTimy/MRy5h+ZD8DAOgMZ12yc9VbAFgW2ZNcFtsbexFFrx+L+TfB2teDSC7pMU0/O5T3g5GnqyQloaLn3F0KIIk4KnVJAURQWHl3I0uNLARjecDhvNHxDipwiYM/528zZbFqVfGrPujSoaMExM7pM0yKdcVHg5AED1kJgU8u9vxBCFANS6JRwiqIw59Acvjr1FQCjm4zmtfqvqZxKAFy5k8lbq2IwKvB804qWXZVclwmrX4JLu8DRzTTwuGIzy72/EEIUE1LolGBGxcj0fdP5/uz3AExsMZGXa7+scioBpsHHg1Ye5E6GjnqBHnz4bD3L9bBlJcOqF01jchxcTUVOUAvLvLcQQhQzUuiUULnGXN7f8z6/XvwVDRqmtplKr+q91I4lMC3W+eZ3RzifmI6/hzPhA5vj7GChCfvSb8E3vUx3Vzl5Qr8foFJLy7y3EEIUQ1LolEB6g553ot4h4nIEWo2WmSEz6VG1h9qxBKZLiZPX/07UuduUcdQS/koz/D0tNH9R8hX4+llIOg+u5UwDj/3rW+a9hRCimJJCp4TJzs1mbORYoq5F4WDnwJwOc3i80uNqxxJ/WL77Et/tj0ejgU9fbEy9QE/LvPHtc/DVs5B6FTyDYOAvcgu5EEIghU6JkqnPZOT2key/sR9nrTMLOi2gTWAbtWOJP2w6mcD0DbEAvPdkHbrU8bPMG1+OhtUvQ9Zd8K0BA34Gz0DLvLcQQhRzUuiUEGm6NN7Y+gZHbx2ljH0ZFnZeSDN/ucumqIg6d4uRq46iKNC/VSX+07aKZd74+Pfwywgw6Ey3jr/8Pbj6Wua9hRCiBJBCpwS4m32XYRHDiL0Ti7ujO0u7LKV+ORmbUVQcirvD0K8OozMY6VHPnylP1330O6wUBXbOgsgZpse1n4Zey8BRFmUVQoi/kkKnmLuddZshW4ZwPvk8Ps4+LOu6jJo+NdWOJf5w8loKg1YeJEtvoH2Ncsx/sRH22kdcciM3B34dBcdWmR63GQldpoKdLOUhhBB/J4VOMXYj4waDtwzmcuplyruUJ6xbGMGewWrHEn84n5jOK18cIC07l+ZVvFnavylO9o94G3nKVfh+IFw7DBotPDkHmv3HMoGFEKIEkkKnmLqSeoXBWwZzPeM6gW6BhIWGEeRuwZl1xSO5eCud/uH7SfpjQsDlrzbHxfERi5xLu+CHQZB5G5y94Pkv4LHOlgkshBAllBQ6xdCF5AsM2TKEW1m3qOJRhbDQMPxd/dWOJf5w5kYa/cL3czs9h8fKu/HloBZ4ODsU/g0VBaI/g61TQDGY5sbp+w14V7FUZCGEKLGk0ClmTt85zdAtQ7mbc5fHvB4jLDQMXxe5y6aoOH41mYFfHCA5U08tf3e+GdySsm5OhX/DrLuwfiTErjc9bvgSPDlXBh0LIUQBSaFTjBy/dZzhW4eTpkujTtk6LO2yFC9nC652LR7Jwbg7DFpxkPScXBoGefHloOZ4lXEs/BvG7YG1Q02TANrZQ/ePoPlgkFXnhRCiwKTQKSYO3jjIm9veJDM3k8blG7Ow80LcHd3VjiX+sOvsLYZ9fZgsvYEWVX344tXmuDkV8p+XQQ87P4aoT0Axgk8wPBdumidHCCGEWaTQKQb2XNvDqB2jyDHk0CqgFQs6LaCMg1y6KCq+2x/PpF9OYjAqtK9RjqX9mxZ+4HHSBVg3DK4eND1u1B96fAxObpYLLIQQpYgUOkXctvht/Hfnf9Eb9XSo2IFPOn6Ck/YRxnwIizEYFT7aGEtY1CUAejUO5KPn6hfuFnJDLuxbCDtmQG62aeXxp+dBvecsnFoIIUoXKXSKsA0XN/C/3f/DoBgIrRzKRyEf4aB9hLt3hMVk6nIZtfooEaduAjC2aw3eevyxws14fPN30zIO12NMj4M7wjOfgVcli+UVQojSSgqdImrtubVMiZ6CgsIz1Z5hapup2NvJX1dRcOVOJsO/Oczv11NxtLdjzgsNeaZhBfPfSJ8FUXNh9zww6k29ON2mQ+P+MuBYCCEsRD45i6BvY7/lowMfAdC3Zl/+1/J/2Glkev+iYPPvN/jvD8dIzc6lrKsjywY2o2llb/PeRFEg9lfY/C6kxJv21XoKnpgDHgGWDy2EEKWYFDpFTPiJcBYcWQDAK3Ve4e1mbz/6ApDikelyjXy86TTLd5vG4zSu5MXnLzch0MvFvDdKPA2b3oGLkabHHhVNvTh1ekovjhBCWIEUOkWEoih8FvMZYSfCAHi94eu83vB1KXKKgCt3MnlrVQxHryQDMCSkKuO718LBnMU5027CrtlweAUYc0HrBG1HQrsx4OhqpeRCCCGk0CkCFEVh1sFZfBP7DQBjm45lUL1BKqcSRqPCdwfimbkhlgydAQ9nez7p04iudfwK/iZZyRD9KexbDPpM076aT0C3GeBT1TrBhRBC5JFCR2VGxcgH+z7gx7M/AvBuy3d5sdaLKqcS8UmZvPPTcfZeTAKgWWVv5vVtRJBPAecvykmDg8tNA42zTT1BBDaFzpMhuIOVUgshhPg7KXRUlGvMZdKeSfx28TfsNHZMbTOVZx97Vu1YpZrBqPDV3jhmbTpDlt6Ai4OW8d1rMrB1FbR2BbiMmHkH9i+B/Uv/LHB8a0Ln96HWkzIORwghbEwKHZXoDXreiXqHiMsR2GvsmRkyk+5Vu6sdq1SLvnCbab+e4vSNNABaBfvw8XMNqFy2AGNokq+YLk8dXgn6DNO+so9ByNvQoC/YFXKmZCGEEI9ECh0VZOdmMzZyLFHXonCwc2Bux7l0DOqodqxS63JSBtP/L5Ytf0z+5+Fsz3+716Jfi0rY/VMvjqJAXJSp9+bMBtO6VAD+DSBkLNR+RgocIYRQmRQ6Npapz+St7W9x4MYBnLXOLHh8AW0qtFE7VqmUmJrN0l0X+XrvZXQGI1o7Df1bVmJ0lxp4u/7DquNZd+HEj3AwHG6d/nN/lRBoOxoe6yyXqIQQooiQQseGUnWpvLH1DY7dOoargysLOy+kqZ+sSG1rCSlZLN15kVUH4snJNfXCtK9RjklP1qa630NWhDfkwoXtcOw7OL0BDDmm/Q6u0PBFaDEEyte20XcghBCioKTQsZG72XcZFjGM2DuxeDh6sLTrUur51lM7Vqly4VY6X+y+xA+HrqIzmAqcJpW8GNWlBu2r+94/Z5HRCFcPwKlf4ORPkH7zz+fK14UmA6DRy+DsacPvQgghhDmk0LGBW5m3GBoxlPPJ5/Fx9mFZ12XU9KmpdqxSIddgZGvsTb7ed5k955Py9res6sPIztVpU61s/gLHoIf4fRC7Hk6th/Qbfz5XpizUf8FU3Pg3kMtTQghRDEihY2UJ6QkM3jKY+LR4ypcpT1hoGMGewWrHKvHOJ6ax/uh1vj90lRup2QDYaeDxWn4MCalKy+Cyfx6ccg3OR8D5rXBxJ+Sk/vmckwfU7GFaouGxrmD/D2N3hBBCFDlS6FhRfGo8g7cMJiEjgUC3QMJDw6noXlHtWCVWfFImvx6/zq/HrufdIg5Q1tWRF1sE8VKLSlT0LgOp1+H4D3B5j+nr9tn8b1SmLNT4o7gJ7gD2Tjb+ToQQQliKFDqWYjBAVBQkJEBAABfqV2DItuHcyrpFFY8qhIWG4e/qr3bKEiVbb+DApTvsOnuLnWdvcS4xPe85B62G9tXL0aueF6E+iTje3AbbjsC1Q3A37m/vpIGKzUw9NtW7QEBjsJPV4oUQoiQoEoXOokWLmD17NgkJCdStW5f58+cTEhLy0ON/+uknJk2axIULF6hWrRrTp0+nV69eNkz8N2vXwqhRcPUqALGVnBn2TjB3Xe2o7l2dZV2X4eviq16+EuJuho6jV5KJib9LzJVkDly6k3fXlBYD1ewSeToghc5lk6ipuYrjnTPwf2f/nN/mHo2daYxN5bZQpS1Uag1lfFT4joQQQlib6oXOmjVrGD16NIsWLaJt27YsXbqUHj16cOrUKSpVqnTf8Xv37qVv37588MEH9OrVi3Xr1tGnTx92795Ny5Ytbf8NrF0Lzz9vmjwOOFbNhdffrkJaGTvqXcxkSYPeeEqRY5ZsvYGLtzI4fyud8zfTOJeYztmEZDKTrhGgScJfc4camiQ6a25R0+UW1R0S8dHfxE7JhSRMX3/lHgAVmkBgY9OfFZvJnVJCCFFKaBTlj09olbRs2ZImTZqwePHivH21a9fm2WefZebMmfcd37dvX1JTU9m4cWPevu7du+Pt7c2qVav+tb3U1FQ8PT1JSUnBw8Pj0cIbDFClSl5PzsFarrw5qhKZLlqanMng8/nxlPEqR+LubaAtnTPkGg0KuQYden0uubm55ObqycrKICsjg+ysDHKyMsjJSic7PZnczGTITsVen4aXJp2ypFFWk4KPJg1v0tBq/uVH1d4FytWE8nVMc9qUrwN+dcEjwDbfrBBCCKsp7Oe3qj06Op2Ow4cPM2HChHz7Q0NDiY6OfuBr9u7dy5gxY/Lt69atG/Pnz3/g8Tk5OeTk5OQ9Tk1NfeBxhRIVlVfkRNd1ZeSoyuQ42tHqZDoLPr1MGZ0CWTcImNYcqqjeeVZ8PORUKXb2aNwrgGcgeFQAzyAoWw18gk1fbv4ytkYIIUQ+qn763r59G4PBgJ+fX779fn5+3Lhx44GvuXHjhlnHz5w5k6lTp1om8N8lJORt+t/R45ptpPXv6cxZdAUn/Z+9D7o0O4yKg3UyFDEKmvseGzR2GNFixA5FY4de40iunRNGrRNGrTM4uICzBw5lvHBy9cLVwxsnD180ruXA1RfK+IJrOdNjKWSEEEKYoUh0M/x9RlpFUe6fpbaQx0+cOJGxY8fmPU5NTSUoKOgR0v5FwJ+XRIITdHzzwUX87+hwMOQ/zPGtX6FjR8u0KYQQQogCU7XQ8fX1RavV3tcbk5iYeF+vzT3+/v5mHe/k5ISTk5XmQQkJgYoV4do1UBSCbunyP6/RmJ7/hzvIhBBCCGE9ql4HcHR0pGnTpkREROTbHxERQZs2D17Ru3Xr1vcdv2XLloceb1VaLSxYYNr+e4/Svcfz55fagchCCCGE2lQf8DB27FjCw8P54osviI2NZcyYMcTHxzN8+HAABg4cyMSJE/OOHzVqFFu2bOHjjz/m9OnTfPzxx2zdupXRo0er8w307g0//giBgfn3V6xo2t+7tzq5hBBCCKH+GJ2+ffuSlJTEtGnTSEhIoF69emzYsIHKlSsDEB8fj91fBqC2adOG1atX89577zFp0iSqVavGmjVr1JlD557evaFnz3wzIxMSIj05QgghhMpUn0fH1iw6j44QQgghbKKwn9+qX7oSQgghhLAWKXSEEEIIUWJJoSOEEEKIEksKHSGEEEKUWFLoCCGEEKLEkkJHCCGEECWWFDpCCCGEKLGk0BFCCCFEiSWFjhBCCCFKLNWXgLC1exNBp6amqpxECCGEEAV173Pb3AUdSl2hk5aWBkBQUJDKSYQQQghhrrS0NDw9PQt8fKlb68poNHL9+nXc3d3RaDQWfe/U1FSCgoK4cuWKrKNlRXKebUPOs23IebYdOde2Ya3zrCgKaWlpVKhQId9i3/+m1PXo2NnZUbFiRau24eHhIf+IbEDOs23IebYNOc+2I+faNqxxns3pyblHBiMLIYQQosSSQkcIIYQQJZZ2ypQpU9QOUZJotVo6duyIvX2puypoU3KebUPOs23IebYdOde2UZTOc6kbjCyEEEKI0kMuXQkhhBCixJJCRwghhBAllhQ6QgghhCixpNARQgghRIklhY6ZFi1aRNWqVXF2dqZp06ZERUX94/E//fQTderUwcnJiTp16rBu3TobJS3ezDnPYWFhhISE4O3tjbe3N126dOHAgQM2TFt8mfvzfM/q1avRaDQ8++yzVk5YMph7npOTkxkxYgQBAQE4OztTu3ZtNmzYYKO0xZe553n+/PnUrFkTFxcXgoKCGDNmDNnZ2TZKWzzt2rWLp59+mgoVKqDRaPj555//9TU7d+6kadOmODs7ExwczJIlS2yQ9C8UUWCrV69WHBwclLCwMOXUqVPKqFGjFFdXV+Xy5csPPD46OlrRarXKjBkzlNjYWGXGjBmKvb29sm/fPhsnL17MPc8vv/yysnDhQiUmJkaJjY1VBg0apHh6eipXr161cfLixdzzfE9cXJwSGBiohISEKD179rRR2uLL3POck5OjNGvWTHniiSeU3bt3K3FxcUpUVJRy9OhRGycvXsw9z998843i5OSkfPvtt8qlS5eUzZs3KwEBAcro0aNtnLx42bBhg/Luu+8qP/30kwIo69at+8fjL168qJQpU0YZNWqUcurUKSUsLExxcHBQfvzxRxslVhQpdMzQokULZfjw4fn21apVS5kwYcIDj+/Tp4/SvXv3fPu6deumvPjii1bLWBKYe57/Ljc3V3F3d1e+/PJLa8QrMQpznnNzc5W2bdsq4eHhyiuvvCKFTgGYe54XL16sBAcHKzqdzhbxSgxzz/OIESOUxx9/PN++sWPHKu3atbNaxpKmIIXO+PHjlVq1auXbN2zYMKVVq1bWjJaPXLoqIJ1Ox+HDhwkNDc23PzQ0lOjo6Ae+Zu/evfcd361bt4ceLwp3nv8uMzMTvV6Pj4+PNSKWCIU9z9OmTaNcuXK89tpr1o5YIhTmPK9fv57WrVszYsQI/Pz8qFevHjNmzMBgMNgicrFUmPPcrl07Dh8+nHeZ++LFi2zYsIEnn3zS6nlLk4d9Dh46dAi9Xm+TDOpPWVhM3L59G4PBgJ+fX779fn5+3Lhx44GvuXHjhlnHi8Kd57+bMGECgYGBdOnSxRoRS4TCnOc9e/awfPlyjh49aouIJUJhzvPFixfZvn07/fr1Y8OGDZw7d44RI0aQm5vL+++/b4vYxU5hzvOLL77IrVu3aNeuHYqikJuby+uvv86ECRNsEbnUeNjnYG5uLrdv3yYgIMDqGaTQMZNGo8n3WFGU+/Y9yvHCpLDnbdasWaxatYrIyEicnZ2tFa/EKOh5TktLo3///oSFheHr62ureCWGOT/PRqOR8uXLs2zZMrRaLU2bNuX69evMnj1bCp1/Yc55joyMZPr06SxatIiWLVty/vx5Ro0aRUBAAJMmTbJF3FLjQX8vD9pvLVLoFJCvry9arfa+/x0kJibeV63e4+/vb9bxonDn+Z45c+YwY8YMtm7dSoMGDawZs9gz9zxfuHCBuLg4nn766bx9RqMRAHt7e86cOUO1atWsG7oYKszPc0BAAA4ODmi12rx9tWvX5saNG+h0OhwdHa2auTgqzHmeNGkSAwYMYPDgwQDUr1+fjIwMhg4dyrvvvoudnYzssISHfQ7a29tTtmxZm2SQv8kCcnR0pGnTpkREROTbHxERQZs2bR74mtatW993/JYtWx56vCjceQaYPXs2H3zwAZs2baJZs2bWjlnsmXuea9WqxYkTJzh69Gje1zPPPEOnTp04evQoQUFBtoperBTm57lt27acP38+r5AEOHv2LAEBAVLkPERhznNmZuZ9xYxWq0Ux3aRjtaylzcM+B5s1a4aDg4NtQths2HMJcO/2xeXLlyunTp1SRo8erbi6uipxcXGKoijKgAED8o3w37Nnj6LVapWPPvpIiY2NVT766CO5vbwAzD3PH3/8seLo6Kj8+OOPSkJCQt5XWlqaWt9CsWDuef47ueuqYMw9z/Hx8Yqbm5vy5ptvKmfOnFF+++03pXz58sqHH36o1rdQLJh7nidPnqy4u7srq1atUi5evKhs2bJFqVatmtKnTx+1voViIS0tTYmJiVFiYmIUQJk7d64SExOTdxv/hAkTlAEDBuQdf+/28jFjxiinTp1Sli9fLreXF3ULFy5UKleurDg6OipNmjRRdu7cmfdchw4dlFdeeSXf8T/88INSs2ZNxcHBQalVq5by008/2Thx8WTOea5cubIC3Pc1efJk2wcvZsz9ef4rKXQKztzzHB0drbRs2VJxcnJSgoODlenTpyu5ubk2Tl38mHOe9Xq9MmXKFKVatWqKs7OzEhQUpLzxxhvK3bt3VUhefOzYseOBv2/vndtXXnlF6dChQ77XREZGKo0bN1YcHR2VKlWqKIsXL7ZpZo2iSB+dEEIIIUomGaMjhBBCiBJLCh0hhBBClFhS6AghhBCixJJCRwghhBAllhQ6QgghhCixpNARQgghRIklhY4QQgghSiwpdIQQQghRYkmhI4QQj2DlypV4eXlZvZ0qVaqg0WjQaDQkJyf/Y557x40ePdrquYQo6qTQEaIYW7JkCe7u7uTm5ubtS09Px8HBgZCQkHzHRkVFodFoOHv2bIHe21Yf4IU1ZcoUGjVqZNM2q1Spwvz58/Pt69u3b4HP6aOaNm0aCQkJeHp6PvSYvn37kpCQQOvWrW2SSYiiTgodIYqxTp06kZ6ezqFDh/L2RUVF4e/vz8GDB8nMzMzbHxkZSYUKFahRo4ZNMxoMhnwrcRc1iqLkKxTN5eLiQvny5S2Y6OHc3d3x9/dHo9H8Yx5/f39Z6VyIP0ihI0QxVrNmTSpUqEBkZGTevsjISHr27Em1atWIjo7Ot79Tp055j+fOnUv9+vVxdXUlKCiIN954g/T09LxjBw0aREpKSt5lkClTpgCg0+kYP348gYGBuLq60rJly3zt3+sJ+u2336hTpw5OTk5cvnz5vux3796lX79+lCtXDhcXF6pXr86KFSvynn/nnXeoUaMGZcqUITg4mEmTJqHX6/PamDp1KseOHcvLt3LlSuLi4tBoNBw9ejTvfZKTk9FoNHkZIyMj0Wg0bN68mWbNmuHk5ERUVBQXLlygZ8+e+Pn54ebmRvPmzdm6dWve+3Ts2JHLly8zZsyYvDb/+v3+1eLFi6lWrRqOjo7UrFmTr7/+Ot/zGo2G8PBwevXqRZkyZahevTrr169/6N+zEKLwpNARopjr2LEjO3bsyHu8Y8cOOnbsSIcOHfL263Q69u7dm6/QsbOz49NPP+XkyZN8+eWXbN++nfHjxwPQpk0b5s+fj4eHBwkJCSQkJDBu3DgABg0axJ49e1i9ejXHjx/nhRdeoHv37pw7dy7vvTMzM5k5cybh4eH8/vvvD+zxmDRpEqdOnWLjxo3ExsayePFifH198553d3dn5cqVnDp1igULFhAWFsa8efMA0+WZt99+m7p16+bl69u3r1nnbfz48cycOZPY2FgaNGhAeno6TzzxBFu3biUmJoZu3brx9NNPEx8fD8DatWupWLFi3uWjhISEB77vunXrGDVqFG+//TYnT55k2LBhDBo0KN/fEcDUqVPp06cPx48f54knnqBfv37cuXPHrO9BCFEANl0rXQhhccuWLVNcXV0VvV6vpKamKvbM7CMpAAAGNklEQVT29srNmzeV1atXK23atFEURVF27typAMqFCxce+j7ff/+9UrZs2bzHK1asUDw9PfMdc/78eUWj0SjXrl3Lt79z587KxIkT814HKEePHv3H3E8//bQyaNCgAn+fs2bNUpo2bZr3ePLkyUrDhg3zHXPp0iUFUGJiYvL23b17VwGUHTt2KIqiKDt27FAA5eeff/7XNuvUqaN89tlneY8rV66szJs3L98xfz9Pbdq0UYYMGZLvmBdeeEF54okn8h4DynvvvZf3OD09XdFoNMrGjRsfmuVBbf+TDh06KKNGjSrw8UKUVNKjI0Qx16lTJzIyMjh48CBRUVHUqFGD8uXL06FDBw4ePEhGRgaRkZFUqlSJ4ODgvNft2LGDrl27EhgYiLu7OwMHDiQpKYmMjIyHtnXkyBEURaFGjRq4ubnlfe3cuZMLFy7kHefo6EiDBg3+Mffrr7/O6tWradSoEePHj893mQ3gxx9/pF27dvj7++Pm5sakSZPyelcsoVmzZvkeZ2RkMH78eOrUqYOXlxdubm6cPn3a7DZjY2Np27Ztvn1t27Yl9v/bu7+Qpvo4juNv25Mxnf0RRl0YrXYwxMrNCkSoubywhPUHpYRgLLpZKGjEiCiFVOjfVkQ3dZNX0ujCLsoLoTLSiUJBd13muolEkDDoj9q6kOfgUfPR54meOn5eV9t35/c737PdfPc739/2+rUlNvP9yc3NJS8vj5GRkSWda+ZnEI1GlzRWZLn46/9OQET+G8MwKCgooLe3l7GxMQKBAAAbNmxg8+bNpFIpent72bdvnzkmnU5TXV1NNBqlra2N/Px8+vv7OXnypNkHM59v377hcDh4+fIlDofD8prL5TIfO53OBRtmAQ4cOEA6naa7u5vHjx9TWVlJfX098XicwcFB6urquHjxIlVVVaxZs4ZkMkkikVhwzhUrpr+7ZTIZM/aj68nNzbU8j8Vi9PT0EI/HMQwDp9NJbW0tX79+XfCc85l97ZlMZk5s5cqVc8YstWl7Zi/S6tWrl5ilyPKgQkfEBoLBIM+ePWNsbIxYLGbGA4EAPT09DA4OcuLECTP+4sULJicnSSQSZnFw//59y5zZ2dlMTU1ZYn6/n6mpKUZGRuZsX/833G43kUiESCTCnj17iMVixONxUqkUmzZt4vz58+axsxua58vP7XYD8O7dO/x+P2AtBhbS19dHJBLhyJEjwPQ2/eHh4X8852xFRUX09/cTDofN2MDAAEVFRYvKYykMw/jpc4rYjQodERsIBoPU19czMTFhrujAdKFz6tQpPn/+bGlE9nq9TE5OcuvWLUKhEKlUitu3b1vm9Hg8fPz4kSdPnlBSUkJOTg6FhYUcP36ccDhMIpHA7/czOjrK06dP2b59O9XV1YvOuaWlhZ07d1JcXMyXL1949OiRWQwYhsHbt29JJpPs3r2b7u5uHjx4MCe/N2/e8OrVKwoKCsjLy8PpdFJWVsbly5fxeDyMjo5y4cKFReVjGAZdXV2EQiGysrJobm6es8Li8Xh4/vw5dXV1rFq1ytI8/bdYLMbRo0cpLS2lsrKShw8f0tXVZdnBJSK/jnp0RGwgGAzy6dMnDMNg/fr1ZjwQCDA+Po7X62Xjxo1m3Ofzcf36da5cucK2bdvo7Ozk0qVLljnLy8uJRqMcO3YMt9vN1atXAejo6CAcDnPmzBm2bt3KwYMHGRoassy/GNnZ2Zw7d44dO3awd+9eHA4HyWQSgEOHDnH69GkaGhrw+XwMDAzQ3NxsGV9TU8P+/fsJBoO43W7u3bsHwN27d5mYmGDXrl00NjbS3t6+qHxu3LjBunXrKC8vJxQKUVVVRWlpqeWY1tZWhoeH8Xq95urRbIcPH+bmzZtcu3aN4uJi7ty5Q0dHBxUVFUt6f0Tk58jKzLyZLSIivyWPx0NTU9Oi/9ahoqICn88355ecRZYbreiIiPwhzp49i8vl4sOHDz88prOzE5fLRV9f3y/MTOT3pRUdEZE/QDqdNneQbdmyxWwin218fJz3798DsHbt2nn7iESWExU6IiIiYlu6dSUiIiK2pUJHREREbEuFjoiIiNiWCh0RERGxLRU6IiIiYlsqdERERMS2VOiIiIiIbanQEREREdv6Dl/pk3WKARfAAAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:395\n",
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:395\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f31606b3828>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sor_hs = 0.25\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "ename": "UndefVarError",
     "evalue": "UndefVarError: update! not defined",
     "output_type": "error",
     "traceback": [
      "UndefVarError: update! not defined",
      "",
      "Stacktrace:",
      " [1] #forced_imb_implicit_upwind#11(::Float64, ::Function, ::Main.FractionalFlow.CoreProperties, ::Main.FractionalFlow.Fluids, ::Main.FractionalFlow.Fluids, ::Main.FractionalFlow.CoreyRelativePermeability, ::Main.FractionalFlow.CoreyRelativePermeability, ::Main.FractionalFlow.CoreFlooding) at /home/ali/projects/peteng/analytical/FractionalFlow/water_flood_fvm_upwind.jl:173",
      " [2] forced_imb_implicit_upwind(::Main.FractionalFlow.CoreProperties, ::Main.FractionalFlow.Fluids, ::Main.FractionalFlow.Fluids, ::Main.FractionalFlow.CoreyRelativePermeability, ::Main.FractionalFlow.CoreyRelativePermeability, ::Main.FractionalFlow.CoreFlooding) at /home/ali/projects/peteng/analytical/FractionalFlow/water_flood_fvm_upwind.jl:14",
      " [3] top-level scope at In[30]:1"
     ]
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5,1,'tertiary low-sal water flood')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1-c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")\n",
    "title(\"tertiary low-sal water flood\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f596b5c0bd0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sor_hs = 0.20\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.single_ion_adsorption_water_flood_single_shock(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood, 0.0)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  98%|████████████████████████████████████████ |  ETA: 0:00:00\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.30435, 2.6087, 3.91304, 5.21739, 6.52174, 7.82609, 9.13043, 10.4348, 11.7391  …  1162.17, 1163.48, 1164.78, 1166.09, 1167.39, 1168.7, 1170.0, 1171.3, 1172.61, 1173.91], [0.0, 0.000333333, 0.000666667, 0.001, 0.00133333, 0.00166667, 0.002, 0.00233333, 0.00266667, 0.003  …  0.297, 0.297333, 0.297667, 0.298, 0.298333, 0.298667, 0.299, 0.299333, 0.299667, 0.3], [0.0, 1.05956e-13, 1.06617e-13, 9.78054e-14, 9.75851e-14, 1.96712e-13, 1.70939e-13, -5.72734e-15, 4.20739e-14, 4.11928e-14  …  -1.78649e-12, -1.79839e-12, -1.82724e-12, -1.86645e-12, -1.81182e-12, -1.86161e-12, -1.93826e-12, -1.87262e-12, -1.96316e-12, -1.9039e-12], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0015, 0.0018, 0.0021, 0.0024, 0.0027  …  0.1473, 0.1476, 0.1479, 0.1482, 0.1485, 0.1488, 0.1491, 0.1494, 0.1497, 0.15], [1.0, 0.847414, 0.846251, 0.845158, 0.844104, 0.843076, 0.842068, 0.841076, 0.840099, 0.839135  …  0.79, 0.79, 0.79, 0.79, 0.79, 0.79, 0.79, 0.79, 0.79, 0.79], [0.0, 5.0858e-83, 5.94677e-81, 3.49838e-79, 1.37953e-77, 4.10032e-76, 9.79528e-75, 1.95863e-73, 3.37116e-72, 5.09786e-71  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24,0.5,'Water saturation [-]')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24,0.5,'Water saturation [-]')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "# plot(xt_num/(core_props.length)/pv_num[end], c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "# plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solvent injection: DME example\n",
    "One necessary detail is the volumetric partition coefficient that is needed for finding the analytical solution. It can be done by doing some thermodynamic magic for finding the partial molar volumes of DME in the aqueous and in the oleic phase.  \n",
    "I've done it in another file, because it is boring for everybody else (not me, I love thermodynamics). The result is here. I have also shown the molar and mass partition coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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iSEREpIQMw2DJwSVM+nESWflZVHOsxgstX6Bfs344mCrtE66qPBVDIiIiJXDm4hnGbBrDupPrAAjzCSM+Kp7gmsHXOFMqOhVDIiIiV2EYBiuOrCB+SzzmPDPODs48d8dzPH7r4zg6ONo7npQBFUMiIiJXkJaTRtzmOL459g0Azb2bMyFqAo1qNbJzMilLKoZEREQuY9XxVYzbNI60nDScTE48Hfo0T4U+hbODs72jSRlTMSQiIvIH5jwzE7dM5PPDnwPQyKsR8VHx3Fr7Vjsnk/KiYkhERORXG5I2ELsxltMXT+NgcmBgi4EMCR+Ci6OLvaNJOVIxJCIiVV5WfhZvbH2D/9v/fwAE1wwmLjKOcN9wOyeTG0HFkIiIVGk/pvxIzIYYkjKTAPh787/z/J3P4+bkZudkcqOoGBIRkSoppyCHqdun8uHPHwLgX92f8ZHjaV2vtZ2TyY2mYkhERKqc3Wd2E70+mqPmowD0bdyXl+56iRouNewbTOxCxZCIiFQZeZY8Zu6aydy9c7EaVnzdfBnTbgztA9rbO5rYkYohERGpEn4+9zPRG6I5cP4AAPc3vJ/XWr+Gp6unnZOJvakYEhGRm1q+NZ85e+bwzq53KDAK8K7mTUzbGLoEd7F3NKkgVAyJiMhN61D6IaLXR/PTuZ8A6BLUhVFtR1Hbrbadk0lFomJIRERuOharhQ/2fcDbO94mz5qHh4sHI9uMpEeDHphMJnvHkwpGxZCIiNxUjpuPM2rDKHac3gFAVP0oxrYbi6+7r52TSUWlYkhERG4KVsPKp4mf8ta2t8guyMbdyZ1XW79K70a9NRokV6ViSEREKr3kzGRiNsawJXkLAK39WjMuchz1a9S3czKpDFQMiYhIpWUYBksOLuH1H18nMz+Tao7VGNZyGP2b9cfB5GDveFJJqBgSEZFK6czFM4zdNJa1J9cCEOYTRnxUPME1g+2cTCobFUMiIlKpGIbByqMridschznPjLODM0PvGMqAWwfg6OBo73hSCakYEhGRSuN8znniNsfx9bGvAWju3Zz4qHga12ps52RSmakYEhGRSmH18dWM3TSWtJw0nExOPB36NE+FPoWzg7O9o0klp2JIREQqNHOemUk/TGLZoWUANPJqRFxUHC1qt7BzMrlZqBgSEZEKa0PSBmI3xnL64mkcTA4MbDGQIeFDcHF0sXc0uYmoGBIRkQonKz+LN7e+ycL9CwEI8ggiPiqecN9wOyeTm5FdN2FYt24dPXv2xN/fH5PJxJIlS67afs2aNZhMpku+UlJSirWbMWMGISEhVKtWjTZt2vDDDz+U52WIiEgZ+jHlR/ou61tUCD3S7BEW9lyoQkjKjV2LoaysLMLCwpgxY4ZN5yUmJpKcnFz05ev7+/NmPv30U4YPH87o0aPZvn07YWFhdOvWjdOnT5d1fBERKUM5BTlM+mEST371JEmZSfhX92f2X2Yzos0I3J3d7R1PbmJ2vU3WvXt3unfvbvN5vr6+eHl5Xfa9yZMnM3jwYAYNGgTArFmzWL58OXPnzuW11167rrwiIlI+dp/ZTfT6aI6ajwLQt3FfXrrrJWq41LBvMKkSKuVe5eHh4dSrV4+uXbuyYcOGouN5eXls27aNLl26FB1zcHCgS5cubNq06Yr95ebmYjabi32JiEj5y7PkMXX7VB5b8RhHzUfxcfPhP/f8hzHtxqgQkhumUhVD9erVY9asWXz22Wd89tlnBAYG0qlTJ7Zv3w7A2bNnsVgs1K1bt9h5devWvWRe0R8lJCTg6elZ9BUYGFiu1yEiIvBL2i/0W96P2XtmYzWs9GjYg8V/W0z7gPb2jiZVTKVaTda0aVOaNm1a9Lpdu3YcOnSIt956iw8++KDU/Y4YMYLhw4cXvTabzSqIRETKSYG1gDl75jBr1ywKjAJqudYiJiKGrsFd7R1NqqhKVQxdTuvWrVm/fj0AderUwdHRkdTU1GJtUlNT8fPzu2Ifrq6uuLq6lmtOERGBQ+mHiF4fzU/nfgKgS1AXRrUdRW232nZOJlVZpbpNdjk7d+6kXr16ALi4uNCyZUtWrVpV9L7VamXVqlVERETYK6KISJVnsVp4/6f3eejzh/jp3E94uHiQ0D6ByZ0mqxASuyvRyNC0adNs7njQoEF4eHhctU1mZiYHDx4sen3kyBF27tyJt7c3QUFBjBgxgqSkJObPnw/AlClTaNCgAS1atCAnJ4fZs2ezevVqvv7666I+hg8fzoABA7jrrrto3bo1U6ZMISsrq2h1mYiI3FjHzccZtWEUO07vACCqfhRjIsZQt3rda5wpcmOUqBgaNmwYAQEBODo6lqjTEydOcP/991+zGNq6dSudO3cuev3bvJ0BAwYwb948kpOTOX78eNH7eXl5vPjiiyQlJeHu7k5oaCjffvttsT4efvhhzpw5Q2xsLCkpKYSHh7Ny5cpLJlWLiEj5shpWFiQuYPK2yWQXZOPu5M4rrV6hT+M+mEwme8cTKWIyDMO4ViMHBwdSUlKKbW54NR4eHuzatYuGDRted0B7MJvNeHp6kpGRQc2aNe0dR0Sk0knOTCZ2YyybkzcD0NqvNeMix1G/Rn07J5ObWWl/f5doZGj06NHUqFHy/R5GjhyJt7d3iduLiMjNwTAMlhxcwus/vk5mfibVHKsxrOUw+jfrj4Op0k9TlZtUiUaGqhqNDImI2O7MxTOM3TSWtSfXAhDqE0p8ZDwhniH2DSZVRml/f19XmT5x4kTS09OvpwsREbkJrDyykt7LerP25FqcHZx5oeULzL93vgohqRSua2SoZs2a7Ny5s9LODboSjQyJiJTM+ZzzxG2O4+tjhat6m3s3Jz4qnsa1Gts5mVRF5Tpn6Ep0h01EpOpafXw1YzeNJS0nDSeTE4NDBzM4dDDODs72jiZik0q/A7WIiNxY5jwzk36YxLJDywBo5NWIuKg4WtRuYedkIqVzXcXQvn378Pf3L6ssIiJSwW1M2kjMxhhOXzyNCRMDbxvIkPAhuDrqkUZSeV1XMaSHmYqIVA0X8y/y5tY3WbB/AQBBHkHER8UT7htu52Qi169Eq8m8vb05e/ZsiTsNCgri2LFjpQ4lIiIVx9aUrfRZ1qeoEHqk2SMs7LlQhZDcNEo0MpSens6KFSvw9PQsUafnzp3DYrFcVzAREbGvnIIcpu2Yxof7PsTAwL+6P+Mix9GmXht7RxMpUyW+TTZgwIDyzCEiIhXI7jO7iV4fzVHzUQD6Nu7LS3e9RA2Xkj+NQKSyKFExZLVayzuHiIhUAHmWPGbtmsWcvXOwGlZ83HwY024MHQI62DuaSLnR0noREQEgMS2RketHsv/8fgDua3AfI9uMxNO1ZFMkRCorFUMiIlVcgbWAOXvmMGv3LAqsBdRyrUVMRAxdg7vaO5rIDaFiSESkCjucfpjo9dHsPbcXgHuC7iGmbQy13WrbOZnIjaNiSESkCrJYLXz484dM2z6NPGseHi4ejGwzkh4NemAymewdT+SGUjEkIlLFnDCfYNSGUWw/vR2AyPqRjI0YS93qde2cTMQ+bC6GHn/8cTp37kyHDh245ZZbyiOTiIiUA8MwWJC4gDe3vUl2QTbuTu683Opl+jbuq9EgqdJsLoZcXFxISEjgySefpH79+nTs2JFOnTrRsWNHGjduXB4ZRUTkOiVnJhO7MZbNyZsBaOXXivGR46lfo76dk4nYn8kwDKM0JyYlJbFu3TrWrl3L2rVr2b9/P/Xq1ePkyZNlnfGGM5vNeHp6kpGRQc2aNe0dR0Sk1AzDYOmhpUz6YRKZ+ZlUc6zGsJbD6N+sPw6mEj2RSaTSKO3v71LPGapVqxa1a9emVq1aeHl54eTkhI+PT2m7ExGRMnY2+yxjN45lzck1AIT6hBIfGU+IZ4hdc4lUNDYXQyNHjmTNmjXs2LGD5s2b07FjR1577TU6dOhArVq1yiOjiIjYaOWRlcRtiSMjNwNnB2eGhA9hYIuBODo42juaSIVj820yBwcHfHx8eOGFF+jTpw9NmjQpr2x2o9tkIlJZnc85T/yWeL46+hUAzb2bEx8VT+NamtMpN78bdptsx44drF27ljVr1vDmm2/i4uJSNIm6U6dON2VxJCJSGXx3/DvGbBpDWk4ajiZHng59msGhg3F2cLZ3NJEKrdQTqH+za9cu3nrrLT766COsVisWi6WsstmNRoZEpDIx55mZ9MMklh1aBsAtnrcQ3z6eFrVb2DmZyI11w0aGDMNgx44drFmzhjVr1rB+/XrMZjOhoaF07NjR1u5EROQ6bEzaSOzGWFIvpmLCxMDbBjIkfAiujq72jiZSadhcDHl7e5OZmUlYWBgdO3Zk8ODBtG/fHi8vr/LIJyIil3Ex/yJvbn2TBfsXABDkEURcVBx3+N5h52QilY/NxdCHH35I+/btdftIRMROtqZsJWZDDCczC/d1e6TZIzx/5/O4O7vbOZlI5WRzMdSjR4+i73/bYDEgIKDsEomIyGXlFOQwbcc0Ptz3IQYG9arXY3zkeNrUa2PvaCKVms3bj1qtVsaNG4enpyfBwcEEBwfj5eXF+PHjsVqt5ZFRRKTK23NmDw9+/iAf7PsAA4M+jfuw6K+LVAiJlAGbR4aio6OZM2cOEydOJDIyEoD169czZswYcnJyiI+PL/OQIiJVVb4ln5m7ZjJn7xyshhUfNx/GtBtDh4AO9o4mctOweWTo/fffZ/bs2TzzzDOEhoYSGhrKs88+y3//+1/mzZtnU1/r1q2jZ8+e+Pv7YzKZWLJkyVXbL1q0iK5du+Lj40PNmjWJiIjgq6++KtZmzJgxmEymYl/NmjWz9TJFROwuMS2Rfsv78d89/8VqWLmvwX0s/ttiFUIiZczmYigtLe2yxUWzZs1IS0uzqa+srCzCwsKYMWNGidqvW7eOrl278uWXX7Jt2zY6d+5Mz5492bFjR7F2LVq0IDk5uehr/fr1NuUSEbGnAmsB7+5+l37L+7H//H5qudZicqfJTOowCU9XT3vHE7np2HybLCwsjOnTpzNt2rRix6dPn05YWJhNfXXv3p3u3buXuP2UKVOKvZ4wYQJLly7l888/5447fl9O6uTkhJ+fn01ZREQqgsPph4leH83ec3sBuDvwbmIjYqntVtvOyURuXjYXQ6+//jo9evTg22+/JSIiAoBNmzZx4sQJvvzyyzIPeDVWq5ULFy7g7e1d7PiBAwfw9/enWrVqREREkJCQQFBQ0BX7yc3NJTc3t+i12Wwut8wiIpdjsVr48OcPmbZ9GnnWPDycPRjRZgT3N7wfk8lk73giNzWbb5N17NiR/fv307t3b9LT00lPT6dPnz4kJibSvn378sh4RW+88QaZmZk89NBDRcfatGnDvHnzWLlyJTNnzuTIkSO0b9+eCxcuXLGfhIQEPD09i74CAwNvRHwREQBOmE/wxFdP8MbWN8iz5hFZP5LFf1tMz1t6qhASuQGu+9lkZcVkMrF48WJ69epVovYff/wxgwcPZunSpXTp0uWK7dLT0wkODmby5Mk8+eSTl21zuZGhwMBAPZtMRMqVYRgsSFzAm9veJLsgG3cnd15u9TJ9G/dVESRSCuX6bLLdu3eXuMPQ0NASty2tTz75hKeeeoqFCxdetRAC8PLyokmTJhw8ePCKbVxdXXF11XN8ROTGSclKIXZDLJuSNwHQyq8V4yPHU79GfTsnE6l6SlQMhYeHYzKZuNYgkslkKven1v/vf//jiSee4JNPPim2G/aVZGZmcujQIR577LFyzSUiUhKGYbD00FIm/TCJzPxMXB1deaHlC/Rv1h8Hk80zF0SkDJSoGDpy5Ei5fHhmZmaxEZsjR46wc+dOvL29CQoKYsSIESQlJTF//nyg8NbYgAEDmDp1Km3atCElJQUANzc3PD0Ll5u+9NJL9OzZk+DgYE6dOsXo0aNxdHSkf//+5XINIiIldTb7LGM3jmXNyTUAhPqEEhcZRwPPBvYNJlLFlagY6t27N6tWraJWrVqMGzeOl156CXf3638g4NatW+ncuXPR6+HDhwMwYMAA5s2bR3JyMsePHy96/91336WgoIAhQ4YwZMiQouO/tYfC56X179+fc+fO4ePjQ1RUFJs3b8bHx+e684qIlNbKIyuJ2xJHRm4Gzg7OPBv+LANxlDy1AAAgAElEQVRbDMTJweZFvSJSxko0gdrNzY0DBw4QEBCAo6MjycnJ+Pr63oh8dlHaCVgiIn92Puc88Vvi+epo4W75zb2bExcVR5NaTeycTOTmU64TqMPDwxk0aBBRUVEYhsEbb7xBjRo1Lts2Nja2xB8uInIz++74d4zdNJZzOedwNDkyOHQwT9/+NM6OzvaOJiJ/UKKRocTEREaPHs2hQ4fYvn07t956K05Ol9ZRJpOJ7du3l0vQG0kjQyJyPS7kXWDSD5NYemgpALd43kJ8VDwt6rSwczKRm1tpf3/bvM+Qg4MDKSkpuk0mInIZG09tJHZDLKkXUzFhYmCLgQy5Ywiujtq+Q6S8lettsj+yWq22niIictO7mH+Rydsm82nipwAEeQQRFxXHHb53XONMEbE3LWMQEblOW1O2ErMhhpOZJwHo36w/w+4chrvz9a+6FZHyp2JIRKSUcgpyeHvH23yw7wMMDOpVr8e4yHG0rdfW3tFExAYqhkRESmHPmT1Eb4jmSEbhprR9Gvfh5btepobL5VfaikjFpWJIRMQG+ZZ8Zu6aydy9c7EYFuq41WFsu7F0COhg72giUkoqhkRESigxLZGR60ey//x+AO5rcB8j24zE09XTzslE5HqUqBiqVasWJpOpRB2mpaVdVyARkYqmwFrA3L1zmblrJgXWAmq51mJU21H8JeQv9o4mImWgRMXQlClTyjuHiEiFdDjjMNHfR7P33F4A7g68m5iIGOq41bFzMhEpKyUqhgYMGFDeOUREKhSrYeXDfR8ybcc0ci25eDh7MKLNCO5veH+JR8pFpHK4rjlDOTk55OXlFTumHZtFpLI7YT7BqA2j2H668PFCkf6RjGk3Br/qfnZOJiLlweZiKCsri1dffZUFCxZw7ty5S963WCxlEkxE5EYzDIOF+xfyxtY3yC7Ixt3JnZdbvUzfxn01GiRyE3Ow9YRXXnmF1atXM3PmTFxdXZk9ezZjx47F39+f+fPnl0dGEZFyl5KVwj+++QfjN48nuyCbu+rexWd//YwHmjygQkjkJmfzyNDnn3/O/Pnz6dSpE4MGDaJ9+/Y0atSI4OBgPvroI/7+97+XR04RkXJhGAbLDi1j4g8TyczPxNXRlWF3DuOR5o/gYLL570URqYRsLobS0tJo2LAhUDg/6Lel9FFRUTzzzDNlm05EpBydzT7L2I1jWXNyDQChPqHERcbRwLOBfYOJyA1l8589DRs25MiRwu3nmzVrxoIFC4DCESMvL6+yTSciUk5WHl1Jr6W9WHNyDU4OTjx/5/O8f+/7KoREqiCbR4YGDRrErl276NixI6+99ho9e/Zk+vTp5OfnM3ny5PLIKCJSZtJz0onfEs/KoysBaObdjPioeJrUamLnZCJiLybDMIzr6eDYsWNs27aNRo0aERoaWla57MpsNuPp6UlGRoa2ChC5iaw5sYYxG8dwLuccjiZHBocO5unbn8bZ0dne0USkDJT29/d1P5ssODiY4ODg6+1GRKTcXMi7wKQfJrH00FIAGno2ZELUBFrUaWHnZCJSEZSqGFq1ahWrVq3i9OnTWK3WYu/NnTu3TIKJiJSFjac2MnrjaFKyUjBhYmCLgQy5Ywiujq72jiYiFYTNxdDYsWMZN24cd911F/Xq1dP+GyJSIV3Mv8jkbZP5NPFTAAI9AomPiucO3zvsnExEKhqbi6FZs2Yxb948HnvssfLIIyJy3balbmPU+lGczDwJQL+m/Xih5Qu4O7vbOZmIVEQ2F0N5eXm0a9euPLKIiFyXnIIcpu+Yzvx98zEw8Kvux/jI8bSt19be0USkArN5n6GnnnqKjz/+uDyyiIiU2p4ze3joi4d4f9/7GBj0btSbRX9dpEJIRK7J5pGhnJwc3n33Xb799ltCQ0Nxdi6+JFV7DYnIjZRvyWfmrpnM3TsXi2GhjlsdxrYbS4eADvaOJiKVhM3F0O7duwkPDwdg7969xd7TZGoRuZES0xKJXh9N4vlEALo36M7I1iPxqqbd8EWk5Gwuhr777rvyyCEiUmIF1gLe2/se/9n1HwqsBXi5ejGq7Si6hXSzdzQRqYSua9PFkycLV2oEBASUSRgRkWs5nHGYUetHsefsHgDuDrybmIgY6rjVsXMyEamsbJ5AbbVaGTduHJ6enkW7T3t5eTF+/PhLNmAUkZuYxQJr1sD//lf4X4ulXD/OaliZ/9N8Hvr8Ifac3YOHswcToiYwpfMUFUIicl1sLoaio6OZPn06EydOZMeOHezYsYMJEybw9ttvExMTY1Nf69ato2fPnvj7+2MymViyZMk1z1mzZg133nknrq6uNGrUiHnz5l3SZsaMGYSEhFCtWjXatGnDDz/8YFMuEbmGRYsgJAQ6d4ZHHin8b0hI4fFycOLCCZ746gn+vfXf5FpyifSPZNHfFtHzlp6aqygi183mYuj9999n9uzZPPPMM4SGhhIaGsqzzz7Lf//738sWJleTlZVFWFgYM2bMKFH7I0eO0KNHDzp37szOnTsZNmwYTz31FF999VVRm08//ZThw4czevRotm/fTlhYGN26deP06dM2ZRORK1i0CB54AH69TV4kKanweBkWRIZhsCBxAX2X9WVb6jbcnNyIjYhlZpeZ+FX3K7PPEZGqzean1lerVo3du3fTpEmTYscTExMJDw8nOzu7dEFMJhYvXkyvXr2u2ObVV19l+fLlxVax9evXj/T0dFauXAlAmzZtaNWqFdOnTwcKb+sFBgby3HPP8dprr5Uoi55aL3IFFgtGSAicPIkJyHFxxcGw4pKfD4BhMmHxr0/Kzn3g6HhdH3UmO5UpO+PZfmYLALfVvoPh4THUq16/sIFhYMrPwlSQg6kgB7DpRxm+9W/B0em6n1UtIhXIDXtqfVhYGNOnT2fatGnFjk+fPp2wsDBbu7PJpk2b6NKlS7Fj3bp1Y9iwYUDh7tjbtm1jxIgRRe87ODjQpUsXNm3adMV+c3Nzyc3NLXptNpvLOLlI5ZKVW8CepAwSUy6wP/UCJ85nc/L8RUL2/MDcX0eEsqtV43hAII4WC8EnjuNcUIDJMHBKOslL/5rO5qDQUn66gZPndqrV/RyTYw6G1QmvM21ouN+VXza/RoHpFAGmM/ia0nE15Zf6GjOe249n7bqlPl9Ebh42F0Ovv/46PXr04NtvvyUiIgIoLFJOnDjBl19+WeYB/yglJYW6dYv/8Kpbty5ms5ns7GzOnz+PxWK5bJtffvnliv0mJCQwduzYcsksUhnkW6xsO3ae1b+cZtOhc+xLNmOxXjrSclvaWQCy3Nw4GRCA1cER17w8HP60eMI/Ox1XJ5vvwoPjBZx8P8Ohxj4AAnNcmHQmldsL/gfOVz4tz3DCiuYOiUjp2FwMdezYkf379zNjxoyiAqNPnz48++yz+Pv7l3nAG2HEiBEMHz686LXZbCYwMNCOiUTKn2EYbD+ezqLtJ1m+J5n0i8VHWfw9q9G8Xk2a+nkQUrs6AbXcCN5jInP1fzjpXx/DwQH3rCwCk07i8Ke77ZOf787kTp1syvPV0a+I2/gW6fmZOBkGQ85nMDDDXPhDyqUGBLSCemHg0wy8G4KHH1SvA05uuDjYXnhVs/kMEblZleqGub+/P/Hx8WWd5Zr8/PxITU0tdiw1NZWaNWvi5uaGo6Mjjo6Ol23j53flyZaurq64urqWS2aRiiYn38KynaeYu+EIv6RcKDpey92Zzk196djUh1Yh3vh7uV1yrnk/nKgfACYTNTIvUP/UqeKFkMkEAQHQvn2J86Rnnyd+9TBWnt0OQLPcPOLOnKOpRyBEPgHNeoD/neCo+T0iUj5K9NNl9+7d3HbbbTg4OLB79+6rtg0NLe08gWuLiIi45FbcN998U3S7zsXFhZYtW7Jq1aqiidhWq5VVq1YxdOjQcsslUhnkFlhY8OMJpn93kFRz4Rw5N2dHut/uR587Aoi4pTaODle+1ZS+aDHJo0aByURNsxn/lGRMfy6EAKZMKfHk6TV75jN2+2TOYsHRMHgqI5N/1L8H525PQlDE732KiJSjEhVD4eHhpKSk4OvrS3h4OCaTicstQjOZTFhs2HgtMzOTgwcPFr0+cuQIO3fuxNvbm6CgIEaMGEFSUhLz588H4J///CfTp0/nlVde4YknnmD16tUsWLCA5cuXF/UxfPhwBgwYwF133UXr1q2ZMmUKWVlZDBo0qMS5RG4mhmHw9b5U4pbv40Ra4WrPep7VGBQZwsN3BeHpfpXJOL9K++BDUn8dDfZ68AH8wsIwvfBC8eX1AQGFhVCfPtfs70JmKpOWD2RpTuH5DfPymeDTnha9YsArqBRXKSJSeiUqho4cOYKPj0/R92Vl69atdO7cuej1b/N2BgwYwLx580hOTub48eNF7zdo0IDly5fzwgsvMHXqVAICApg9ezbduv3+PKKHH36YM2fOEBsbS0pKCuHh4axcufKSSdUiVcGJtItEL9nLuv1nAPD1cGXo3Y14uFUgrk4lG705O+sdzkyZAoD3gAH4vvZq4UaHvXvD999DcjLUq1d4a6wEI0Kbtr9L7K63SXEAk2EwwLkuQ++bgatPs9JfqIjIdbB5n6F169bRrl07nP60P0dBQQEbN26kQ4cOZRrQHrTPkFR2hmHwyY8niPtiH1l5FlwcHXi6Q0Oe7XwL7i4lm3tjGAZnJr/Fuf/+F4A6Q4ZQZ+iQUu/4fDH3ApO/eJxPMwtHgwMtBnHh/+LOO58uVX8iIn92w/YZ6ty5M8nJyfj6+hY7npGRQefOnW26TSYiZS8jO5+XF+7i632FCwlahdTi9QfCaFCneon7MKxWUuPiOP/x/wDwfeUVaj9R+lvN2499x6jvhnPCVABAP1d/Xuj5Ae7Vfa9xpohI+bO5GDIM47J/GZ47d47q1Uv+w1ZEyt6+U2ae+Wgbx85dxMXRgZe7NeWJqAZXnRj9Z0ZBAcnRo8hYuhRMJvzGjKHWww+VKk9OQQ7TN45j/uHPMUzgV2BhXLOBRES+Uqr+RETKQ4mLoT6/Too0mUwMHDiw2FJ0i8XC7t27adeuXdknFJESWfVzKs/9bwcX8yzU93LjP3+/k7BAL5v6sOblcerFl7jwzTfg6Ij/xIl49ry/VHn2nt3LyNXDOJKdCibonQsv3/8hHv53lqo/EZHyUuJiyNPTEygcGfLw8MDN7fc9SFxcXGjbti2DBw8u+4Qick3zNx1lzLKfsBrQvnEd3u5/B17uLjb1Yc3O5uRz/yJr/XpMzs7Un/IWHvfcY3OWfEs+s3bPYs7u2ViwUqfAwhiTLx3//hlUr21zfyIi5a3ExdB7770HQEhICC+//DLu7u7lFkpESsYwDKatOshb3+4HoF+rQMb3ug1nR9t2ZLZkZnLin/8ke+s2TG5uBEx/mxqRkTbnSUxLJHp9NInnEwHonpnFSO9WeD3wPjhrz2cRqZhsnjP0+OOPk5SUROPGjYsdP3DgAM7OzoSEhJRVNhG5CsMwmLQykVlrDwHwYtcmDL27kc2rvQrOn+fE4KfJ2bsXhxo1CHz3HdzvtO1WVoG1gHk/zWPGzhkUWAvwslgYdTaNbo3+Bn+bod2jRaRCs/mBPgMHDmTjxo2XHN+yZQsDBw4si0wiUgJ/LIRi7r+V5+5pbHMhlH/6NMcff5ycvXtxrFWLoPfn2VwIHc44zOMrHmfq9qkUWAvofDGbxSeT6dakD/SaqUJIRCo8m4uhHTt2EHmZ4fO2bduyc+fOMgklIlc347uDRYXQ+F638WRUA5v7yE9K4tijj5F74CBOvr4Ef/gBbi1alPh8q2Fl/k/zeejzh9hzdg8eTm5MOJvB1NQz1Lm1N/z1bSjFA1RFRG40m/9kM5lMXLhw4ZLjGRkZ2mNI5Ab4cPMx/v1V4Zyc6Pua81jbYJv7yD18hONPPEFBSgrOAQEEvTcXl8DAEp9/4sIJYjbEsC11GwDt6oQzdt96/LIyoEl36P0OOJRsh2sREXuz+c+2Dh06kJCQUKzwsVgsJCQkEBUVVabhRKS47345TezSvQA8d3cjBndoaHMfOb/8wrHHHqMgJQWXhg0J/ujDEhdChmGwIHEBfZf1ZVvqNtyc3Ii54wVmHdiJX1Ya1L8LHpgLjtd+3pmISEVh88jQpEmT6NChA02bNqV9+/YAfP/995jNZlavXl3mAUWk0L5TZoZ+vB2rAQ/dFcDwrk1s7iN7506OP/0PrGYzrrc2J2j2bJy8vUt0bkpWCqM3jmbjqcI5gy3rtmR8m1gCFw+B9ONQqwE88im4aKWpiFQuNo8M3XrrrezevZuHHnqI06dPc+HCBR5//HF++eUXbrvttvLIKFLlnc3M5cn3fyQrz0JEw9rE9brd5snSWZu3cOyJJ7GazbjdcQfB8+aVqBAyDINlh5bRZ2kfNp7aiKujK6+0eoW53eYSuH4aHN8IrjXhkQVQvU5pL1FExG5KtczD39+fCRMmlHUWEbmMAouVoR9vJzkjh4Z1qjPr0Za4ONn2d8yFNWtI+tfzGHl5uEe0JXDGDBxKsFfY2eyzjNs0ju9OfAdAaJ1Q4qLiaODZALa+B9veA0zQdzb42D5SJSJSEZR6zevFixc5fvw4eXl5xY6HhoZedygR+d3rXyWy+XAa7i6OvPNYSzzdbZuPY16xgqSXX4GCAmrccw/1J7+Jwx8ep3MlXx39irjNcaTnpuPk4MSQ8CEMbDEQJwcnSN4FK14tbHhPDDTpVppLExGpEGwuhs6cOcOgQYNYsWLFZd/XijKRsvP1Tym8u+4wAG88GEbjuh42nZ/+2Wckx8SC1UrN++/HP2ECJuerF1PpOelM2DKBFUcL/403825GXGQcTb2bFjbIyYCFA8GSC03uhcgXbL4uEZGKxOY5Q8OGDSM9PZ0tW7bg5ubGypUref/992ncuDHLli0rj4wiVVJyRjavfLYbgKeiGnDf7fVsOj9t/nySo0eB1YrXQw/hP2niNQuhtSfW0ntZb1YcXYGjyZF/hP6Dj+/7+PdCyDDg8+ch7TB4BhZuqqi9hESkkrN5ZGj16tUsXbqUu+66CwcHB4KDg+natSs1a9YkISGBHj16lEdOkSrFYjV44dOdpF/M5/b6nrxyb7MSn2sYBudmzeLM1GkAeA8ahO8rL191wvWFvAu8/uPrLDm4BICGng2Jj4rntjp/WhSx63/w02JwcIIH3gP3kq1EExGpyGwuhrKysvD19QWgVq1anDlzhiZNmnD77bezffv2Mg8oUhW9s+5Q0Tyhaf3vKPGEacMwOP3GG6TNmQtAneeGUufZZ69aCG06tYnYjbGkZKVgwsSAFgMYesdQXB3/NK8o7TB8+XLh951GQGCrUl2biEhFY3Mx1LRpUxITEwkJCSEsLIx33nmHkJAQZs2aRb16tg3ji8ilfkkx89Y3hU+hH/vXFjSoU71E5xlWKynjxpH+yacA+L72KrWv8rzAi/kXmbxtMp8mFrYPqBFAfFQ8d9a9zLPJLAWw6B+QlwlB7SBK84RE5OZhczH0/PPPk5ycDMDo0aO59957+eijj3BxcWHevHllnU+kSsm3WHlxwS7yLQZdmtflgZYBJTrPKCjg1MiRmJd9DiYTfuPGUuvBB6/YfnvqdkZtGMWJCycAeLjpwwxvORx35ysst980HU7+ULifUO9ZetSGiNxUbC6GHn300aLvW7ZsybFjx/jll18ICgqiTh1tuCZyPf7z3SF+OmXGy92ZCX1uK9HGita8PJKGDyfz21Xg5IT/pIl4XmHuXq4ll7e3v838ffMxMPCr7se4duOI8I+48gecSYTvft1X7N4EqGX7s9BERCoym4qh/Px8mjVrxhdffEHz5s0BcHd35847LzOsLiI2OXj6AtO/OwAU3h7z9ah2zXOsFy9ycuhzZG3ciMnFhfpTpuBxd+fLtt17di/R66M5nFG4VL9Xo1680uoVPFyuslzfUgBLnilcRt+oK4T/3fYLExGp4GwqhpydncnJySmvLCJVltVqMHLRXvItBnc38+WvYf7XPMdy4QIn/vFPsrdvx+TuTuCM6VSPuHSEJ9+Szzu732H2ntlYDAt13OowJmIMHQM7XjvYllmQtK3w9ljPqWDjI0BERCoDmzcIGTJkCJMmTaKgoKA88ohUSQu2nuCHo2m4OTsy7m8trnl7rOD8eY4PGEj29u04eHgQNGf2ZQuh/ef388iXj/DO7newGBa6h3Rn8V8Xl6wQOn8Mvosv/P4v48GzfmkuTUSkwrN5ztCPP/7IqlWr+Prrr7n99tupXr34SpdFixaVWTiRquBcZi4JK34B4MW/NCGg1tWfGZafeprjTz5B3sFDOHp7EzRnNtV+vW39mwJrAfN+mseMnTMosBbg5erFqLaj6BZSwsdmGAZ8+RLkX4TgSLjj8VJdm4hIZWBzMeTl5UXfvn3LI4tIlfTvrxLJyM7n1no1Gdgu5Kpt806e5PigJ8g/cQKnunUJem8urg0bFmtzOOMwo9aPYs/ZPQB0CuzE6IjR1HGzYYHDT4vhwNfg6AL3T9Eu0yJyUytRMbRs2TK6d++Os7Mz7733XnlnEqkydp1I59Othcvbx/2tBU6OVy46cg8f5vigJyhITcU5MJCg9+biEvD70nurYeWjnz9i6vap5Fpy8XD24LU2r9GzYc8SrUr7/YMuwMoRhd9HDdfT6EXkpleiYqh3796kpKTg4+ODo6MjycnJRbtQi0jpWK0Gsct+wjCg9x31uSvkyo+2yNm3j+NPDcaSloZLo1sImjMX57q//xs8eeEkMRti2Jq6FYCIehGMixyHX3U/24OtmQiZKeDdUJsrikiVUKKxbx8fHzZv3gwUbvdv01+ZInJZi3YksetEOtVdHBnR/crPHru4YwfHBgzEkpZGtVtvJfiDD4oKIcMwWJC4gD7L+rA1dStuTm7EtI3hna7vlK4QSt0Hm2cWft/93+B87eX9IiKVXYlGhv75z3/yt7/9DZPJhMlkws/vyj9kLRZLmYUTuVll51l446tEAIbe3RjfmpcvOrI2beLEkKEYFy/i1rIlgbNm4uhRuC9QSlYKozeOZuOpjQC0rNuS8ZHjCfQILF0ow4AVr4BhgWb3Q+MupetHRKSSKVExNGbMGPr168fBgwf561//ynvvvYeXl1d5ZxO5af33+8OkmHOo7+XGoMiQy7a5sPo7koYNw8jLo3pkJAFvT8PB3R3DMPj88OdM3DKRC/kXcHV05fk7n+fvzf+Og+k6JjrvWwpHvwenaoU7TYuIVBElXk3WrFkzmjVrxujRo3nwwQdxd7/68l9bzJgxg3//+9+kpKQQFhbG22+/TevWrS/btlOnTqxdu/aS4/fddx/Lly8HYODAgbz//vvF3u/WrRsrV64ss8wipXXanMOstYcAeLV7M6o5X/qcr4wvlnPq1VfBYsGjaxf833wTBxcXzmafZdymcXx34jsAbq9zO3FRcTT0bHhJHzbJz4avYwq/jxwGXkHX15+ISCVi89L60aNHl2mATz/9lOHDhzNr1izatGnDlClT6NatG4mJiZedpL1o0SLy8vKKXp87d46wsDAe/NNDKe+9995iK99cXV3LNLdIab317QEu5lkIC/SiZ2i9S94/v3AhKbGjwTCo+dee+E+YgMnJia+Pfs34zeNJz03HycGJZ8OeZdBtg3BysPmf8aU2ToeM41CzPkQ+f/39iYhUImXwU/T6TJ48mcGDBzNo0CAAZs2axfLly5k7dy6vvfbaJe29vYuvuPnkk09wd3e/pBhydXW96twmEXs4fCaTBb8upY++r/klixHOzZvH6YmTAPDq9zB+sbFk5JmZsGECK46uAKBprabER8XT1Ltp2YQyn4L1kwu/7zoOXMpu1FdEpDKw605qeXl5bNu2jS5dfp+o6eDgQJcuXdi0aVOJ+pgzZw79+vW7ZCfsNWvW4OvrS9OmTXnmmWc4d+7cFfvIzc3FbDYX+xIpD29+sx+L1eCeZr60bvB7YW8YBmemzygqhLyffAK/0aNZl/Q9vZf1ZsXRFTiaHHk69Gn+1+N/ZVcIAayOK9xpOrAt3KYNVUWk6rHryNDZs2exWCzUrVu32PG6devyyy+/XPP8H374gb179zJnzpxix++991769OlDgwYNOHToECNHjqR79+5s2rQJR8dL52ckJCQwduzY67sYkWvYm5TB8t3JmEzwUrffixnDMDj9+r9J+/W2rs+w53EZ9AijN45m8cHFADTwbMCEqAncVue2sg2VvBt2flz4fbd4PYhVRKokm4qh/Px87r33XmbNmkXjxo3LK1OJzZkzh9tvv/2Sydb9+vUr+v72228nNDSUW265hTVr1nDPPfdc0s+IESMYPnx40Wuz2UxgYCmXJ4tcweu/LqXvFV6f5vVqAmBYLKSMHUf6ggUA1B05gv1dmxDzeV9SslIwYeLxWx9n6B1DqeZUxnv+GAZ8HQ0YhSNCAXeVbf8iIpWETcWQs7Mzu3fvLrMPr1OnDo6OjqSmphY7npqaes35PllZWXzyySeMGzfump/TsGFD6tSpw8GDBy9bDLm6umqCtZSrH4+msW7/GZwcTLzQpfDxFkZ+PqdGjMT8xRdgMlF7bAwzgw7zydf/BiCgRgBxUXG0rNuyfEId+BqOrCt8/tg9ZbswQkSkMrF5ztCjjz56yW2p0nJxcaFly5asWrWq6JjVamXVqlVERERc9dyFCxeSm5vLo48+es3POXnyJOfOnaNevUtX7ojcCG99sx/+v707j4/x2h84/plMMlnIhkiEkCAUJSFIxRKpVCxV2t4KV0vdVlvl/qxV7rW2vddSWxeXVmvpJtVbtLeL0ki0CFq01lqChDaxhOyymDm/P6ampmKZSGYmme/79ZqXZ86cec73eGbM13nOcx7gsfZBNKztgaG4mLNjxhoTIWdnSqaP4knn90k4mgBAfPN4Pn3o08pLhAx62Px7AhT5LPg2qpx2hBCiCrB4ztDVq1dZsWIF3377LREREc1bndYAACAASURBVDdMXF64cKFF+xs/fjzDhg2jffv2dOzYkcWLF1NQUGC6umzo0KHUr1+f2bPNF4F79913GTBgALVr1zYrz8/PZ9asWTz66KMEBASQmprKpEmTaNq0KXFxcZZ2V4i7lpKaxY7ULFy0Gkbf3xRDQQFnRo+mMGUnGp2O3X/vzvySt1AlCn8Pf17q/BJRgVGVG9TPCXDhCLh5Q9cJlduWEELYOYuToYMHD9KuXTsAjh07ZvZaee5ZFh8fz4ULF5g+fTqZmZmEh4ezceNG06Tq9PR0nJzMB7COHj3Ktm3b2LRp0w3702q17N+/n9WrV5OdnU1gYCA9e/bk5ZdfllNhwuqUUiz61vg9GdShIQFOpaQ//RxX9u1Dubvx9uN1+Fa3BYABTQcwqcMkPHWelRtU6RVI+pdxu+sEcPet3PaEEMLOaZRSytZB2Jvc3Fy8vb3JycnBy8vL1uGIKmxH6kX+unwXOmcnkp4Oo3jcaIqPHKG0hiuz/mLgWKCitlttZkbNpHtQd+sEtf112DzNuMDi3/eAi7t12hVCiEpW3t/vcq8zdOLECb755huuXLkCGP8HLIQw90biCQCGN/Og6PkRFB85Qn5NLVMGXeVYoKJ3cG829N9gvUToSjZ8v8C4HfMPSYSEEIJynCbLyspi4MCBJCUlodFoOH78OI0bN+app57C19eXBQsWVEacQlQdJSXwn/9wbt8hWpyFjBadeHjVQkp++40sT3hpMFwJ9OXV+/5Jr+Be1o1txxtQlA11mkPYYOu2LYQQdsrikaFx48bh4uJCenq62c1a4+Pj5UaoQkyaBB4eMG4c/u+9w4vb3uPtjbNRv/1Gpg9Me0JL8/AY1vdfb/1EKP887Fxq3L5/KjjduACpEEI4IotHhjZt2sQ333xDgwYNzMpDQ0NJS0ursMCEqHImTYJXXzU9veLqypkGQeidndEVF/NdGw1j+yzkoSYPletig7v23XwoLYDAdtCin/XbF0IIO2VxMlRQUGA2InTNpUuX5Got4bhKSuC6ZSUK3d05U78BBq0WtytXCDp7hqkrNWjf7G2bW15kp8Me4+0+6DFdbrshhBDXsfg0WdeuXXnvvfdMzzUaDQaDgXnz5hETE1OhwQlRZfznP6DXA1Dg4UF6gyAMWi3uhYU0PHsGZ4MB7VW9sZ4tbJ0H+hII7gpN5HsqhBDXs3hkaN68efTo0YMff/yRkpISJk2axKFDh7h06RLbt2+vjBiFsH+pqTcU1SjIp8Gvv+J0/ZWWZdSrdFmpf9yM9f5p1m9fCCHsnMUjQ/feey/Hjh2jS5cu9O/fn4KCAh555BH27dtHkyZNKiNGIezfdZ/9GoWFNDqTfmMi9Kd6VpM8G5QeQntCw0jrty+EEHbO4kUX09PTCQoKKnMCaHp6Og0bNqyw4GxFFl0UFispAQ8PlF7PTWfjaLVQWAg6nfXiOncYlkYBCp7ZCoHh1mtbCCGszGqLLoaEhHDhwoUbyrOysggJCbF0d0JUDzodV/4+BoCb/u9i/HjrJkJgHBVCGa8ek0RICCHKZHEypJQqc1QoPz8fNze3CglKiKro7b7P8VbHRzBo/vS10mrhhRdg3jzrBpSxH458Dmig+z+s27YQQlQhdzyBevz48YDx6rFp06aZXV6v1+vZtWsX4eHyP0/hmIpK9axOOc2lmL8R+OYCHtq+wThZukkTeP55648Iwe+jQsC9j4B/S+u3L4QQVcQdJ0P79u0DjCNDBw4cQHfdP+46nY6wsDAmTpxY8REKUQV8sucslwpKaODrTp92DaHDWNsG9OteOPoVaJwgerJtYxFCCDt3x8lQUlISAMOHD+e1116TicVC/E5vULzz/UkAnu4SgrO23Pc/rjjXRoVaDwS/ZraNRQgh7JzF6wytXLmyMuIQosrafDiTtKxCfDxcGNghyNbhwJkf4Pgm0GghepKtoxFCCLtncTIE8OOPP7J27VrS09MpKSkxe23dunUVEpgQVcXy708B8HhkIzx05fpKVaxro0Jhg6G2rP0lhBC3Y/F4fkJCAlFRURw5coT169dTWlrKoUOH2LJlC97e3pURoxB2a2/6ZfakXUandWJoVCNbhwNndkNqIjg5QzeZwyeEEHfC4mTo3//+N4sWLeJ///sfOp2O1157jV9++YWBAwdWiwUXhbDEtblC/cMDqetpB0tLJP3b+GfYYKgl634JIcSdsDgZSk1NpW/fvoDxKrKCggI0Gg3jxo3j7bffrvAAhbBXZy4VsvFgJgBPd21s42iA9J1wMklGhYQQwkIWJ0O+vr7k5eUBUL9+fQ4ePAhAdnY2hYWFFRudEHZsxfZTGBR0Da1D8wBPW4fzx1yh8CHgG2zTUIQQoiqxeLZnt27d2Lx5M61bt+axxx5jzJgxbNmyhc2bN9OjR4/KiFEIu5NbVMraH84AdjIqlJYCJ5ONo0JdJ9g6GiGEqFIsTobefPNNioqKAPjnP/+Ji4sLO3bs4NFHH2Xq1KkVHqAQ9mjtD2coKNETWrcm3ULr2DqcP0aF2j4OvnYwkVsIIaoQi5OhWrVqmbadnJyYPFlWtxWO5arewMrtpwH4W5eQMu/VZ1VpO+DUVhkVEkKIcrJ4ztDQoUNZuXIlqamplRGPEHZv0+Fz/Jp9hVo1dDzctr6tw/njCrK2j4OPXNEphBCWsjgZ0ul0zJ49m9DQUIKCgnj88cd55513OH78eGXEJ4TdWbHNuMjikMiGuLlobRvM6W1w+ntwcoGucgWZEEKUh8XJ0DvvvMOxY8c4c+YM8+bNo2bNmixYsIB77rmHBg0aVEaMQtiNn89k82PaZVy0Gp64zw7m5iTPMf7Z7gnwsYNbgQghRBVU7jtK+vr6Urt2bXx9ffHx8cHZ2Rk/P7+KjE0Iu7Niu3FUqF+bQOp62XiRxetHhbqMt20sQghRhVmcDP3jH/8gKiqK2rVrM3nyZIqKipg8eTKZmZns27evMmIUwi5k5hTx5f4MAIZ3tvHqzkr9MVeo3VAZFRJCiLtg8dVkc+bMwc/PjxkzZvDII4/QrFmzyohLCLvz/s7TXDUoOgbXonUDG9+H79R3kLYdtDq5gkwIIe6SxcnQvn372Lp1K8nJySxYsACdTkd0dDTdu3ene/fukhyJaqmoVM9Hu9IBGN452LbBKPXHukLthoG3HVzRJoQQVZjFyVBYWBhhYWH83//9HwA///wzixYtYtSoURgMBvR6fYUHKYStbdj3K5cLS2ng607PVgG2DeZkMqSngNYVuspcISGEuFsWzxlSSrF3714WLlzIQw89RExMDB988AGtW7c2JUiWWrJkCcHBwbi5uREZGcnu3btvWnfVqlVoNBqzh5ub+URWpRTTp0+nXr16uLu7ExsbK5f+i3JTSpkmTg/rFIzWyYaLLF4/KtR+OHgF2i4WIYSoJsq1AnV+fj5hYWFER0czYsQIunbtio+PT7kC+Pjjjxk/fjzLli0jMjKSxYsXExcXx9GjR6lbt26Z7/Hy8uLo0aOm539eAXjevHm8/vrrrF69mpCQEKZNm0ZcXByHDx++IXES4nZ2pGZx7Fw+HjotAzvYeKLyiUQ4swuc3aDLONvGIoQQ1YTFydAHH3xA165d8fLyqpAAFi5cyIgRIxg+fDgAy5Yt48svv2TFihU3vdWHRqMhIKDsUxVKKRYvXszUqVPp378/AO+99x7+/v5s2LCBQYMGVUjcwnFcW2TxsYgGeLu72C4QpSDpX8btDk+Dp41P1wkhRDVh8Wmyvn37VlgiVFJSwp49e4iNjf0jICcnYmNjSUlJuen78vPzadSoEUFBQfTv359Dhw6ZXjt16hSZmZlm+/T29iYyMvKm+ywuLiY3N9fsIQTAqYsFbDl6HoBhUcG2DebYN/DbXnDxgM5jbBuLEEJUI+VedLEiXLx4Eb1ej7+/v1m5v78/mZmZZb6nefPmrFixgs8++4wPPvgAg8FAVFQUZ8+eBTC9z5J9zp49G29vb9MjKEjWbBFGq3ecRimIae5HY7+atgvk+lGhjiOgZtmnkIUQQljOpslQeXTq1ImhQ4cSHh5OdHQ069atw8/Pj7feeqvc+5wyZQo5OTmmx5kzZyowYlFV5VwpZe2Pxs/CU10a2zaYI/+DzP2gqwlRMiokhBAVyabJUJ06ddBqtZw7d86s/Ny5czedE/RnLi4utG3blhMnTgCY3mfJPl1dXfHy8jJ7CPHJj2coLNHTzL8mnZvWtl0gBv0fq03f9zzUsGEsQghRDdk0GdLpdERERJCYmGgqMxgMJCYm0qlTpzvah16v58CBA9SrVw+AkJAQAgICzPaZm5vLrl277nifQugNilU7TgPGW2/8+YpFqzq4Di4cATdv6DTKdnEIIUQ1ZfHVZBVt/PjxDBs2jPbt29OxY0cWL15MQUGB6eqyoUOHUr9+fWbPNq6t8tJLL3HffffRtGlTsrOzefXVV0lLS+Ppp58GjFeajR07lldeeYXQ0FDTpfWBgYEMGDDAZv0UVcvmw+c4e/kKvh4uPNzWhis8669C8u+jQlF/B/fyLWEhhBDi5myeDMXHx3PhwgWmT59OZmYm4eHhbNy40TQBOj09HSenPwawLl++zIgRI8jMzMTX15eIiAh27NhBy5YtTXUmTZpEQUEBzzzzDNnZ2XTp0oWNGzfKGkPijl27nH5wx4a4uWhtF8jPH8Glk+BRGyKfs10cQghRjWmUUsrWQdib3NxcvL29ycnJkflDDujA2Rz6vbkNZycN2168nwBvGyXRpUXwRgTknoWe/4Ko0baJQwghqojy/n5XuavJhKhs12698WCberZLhAD2rDQmQl71jYssCiGEqBSSDAlxnXO5RXyx/zcA/tYlxHaBFOfDd/ON29GTwEVO8QohRGWRZEiI67yfkkapXtEh2Jc2DWw4WXnnUii8CLUaQ/gQ28UhhBAOQJIhIX53pUTPh7vSAPhbZxuOChVkwfbXjNsx/wStDe+HJoQQDkCSISF+t27fWS4XlhJUy52erWx4E9TvF0BJHgS0gVaP2C4OIYRwEJIMCQEYDIp3vzdOnP5b5xC0TjZaZDE7HX5YbtyOnQlO8hUVQojKJv/SCgEkHT3PyYsFeLo581h7G96oN+nfoC+BkG7Q5H7bxSGEEA5EkiEhgHd+HxX6a8eG1HS10VqkmQfg5wTjduxMsOUtQIQQwoFIMiQc3sFfc0g5mYXWScPQqGDbBbJ5OqCM84TqR9guDiGEcDCSDAmH9/Z3JwHjIov1fdxtE8SJREjdAk4u0GO6bWIQQggHJcmQcGhnLxfy5YEMAEZ0bWybIAx62DzDuN1xBNSy4WX9QgjhgCQZEg5t5fbT6A2Kzk1rc299b9sE8dNHcO4AuHpDtxdsE4MQQjgwSYaEw8q5UkrC7nTAhqNCxfmw5WXjdvQL4FHLNnEIIYQDk2RIOKwPdqZRUKKnub8n0c38bBPE9sWQfw58Q6DjM7aJQQghHJwkQ8IhFZXqWbn9NADPRjdGY4vL2HPOwo43jNsPvATOrtaPQQghhCRDwjF9uvcsF/OLqe/jTr+wQNsEsXk6XC2ChlHQop9tYhBCCCHJkHA8eoMyXU7/VJcQXLQ2+Bqk7YCDnwIa6D1HFlgUQggbkmRIOJyvD2aQllWIj4cLgzra4NYbBj18Pcm4HTEM6oVZPwYhhBAmkgwJh6KU4j9JqQAM7RSMh84Gt97Yu9p46w1Xb7h/mvXbF0IIYUaSIeFQko9e4HBGLh46LcNtceuNgixIfMm4HTMFatSxfgxCCCHMSDIkHIZSijeTTgAwJLIhvjV01g8icRZcuQx1W0GHEdZvXwghxA0kGRIOY+fJS+xJu4zO2ck2iyye/RH2vmfc7jsftDY4RSeEEOIGkgwJh7Hk91Ghge0bUNfLzbqN66/Cl+MBBWGDoVGUddsXQghxU5IMCYewJ+0S205cxNlJw7Pdmlg/gN1vQ8bPxknTD7xk/faFEELclCRDwiEs/vY4AH+JaEBQLQ/rNp5zFra8Ytx+YBbUrGvd9oUQQtySJEOi2tubfpnvjxtHhUbFNLVu40rBVy9AaQEE3Qfthlm3fSGEELclyZCo9l77fVTokXb1rT8qdPgzOPoVOLlAv8XgJF85IYSwN/Ivs6jW9qRdZuuxC2idNIyOCbVu44WX4KuJxu0u46BuC+u2L4QQ4o5IMiSqtQWbjgLwWEQDGta28qjQxslQcAH87oFuE63bthBCiDsmyZCotnacuMiO1Cx0Wif+3sPKo0LHvoH9H4PGCfovAWdX67YvhBDijkkyJKolpRTzfx8V+mtkQ+r7uFuv8cJL8Pnfjdv3PQ8N2luvbSGEEBazi2RoyZIlBAcH4+bmRmRkJLt3775p3eXLl9O1a1d8fX3x9fUlNjb2hvpPPvkkGo3G7NGrV6/K7oawI1t+Oc/e9GzcXJx4PsbK6wp9OQHyz0Gd5nD/VOu2LYQQwmI2T4Y+/vhjxo8fz4wZM9i7dy9hYWHExcVx/vz5MusnJyczePBgkpKSSElJISgoiJ49e/Lrr7+a1evVqxcZGRmmx5o1a6zRHWEH9AbF3I2/ADAsKpi6nlZcbfrgp3BoHWi08PBScLHiiJQQQohysXkytHDhQkaMGMHw4cNp2bIly5Ytw8PDgxUrVpRZ/8MPP+T5558nPDyce+65h3feeQeDwUBiYqJZPVdXVwICAkwPX19fa3RH2IFP957l2Ll8vN1deD7aiusK5ZyFL8YZt7tOgPoR1mtbCCFEudk0GSopKWHPnj3ExsaaypycnIiNjSUlJeWO9lFYWEhpaSm1atUyK09OTqZu3bo0b96ckSNHkpWVddN9FBcXk5uba/YQVVNRqZ5Fm48BMCqmCd4eLtZp2KCHdc9CUQ4EtoPoSdZpVwghxF2zaTJ08eJF9Ho9/v7+ZuX+/v5kZmbe0T5efPFFAgMDzRKqXr168d5775GYmMjcuXPZunUrvXv3Rq/Xl7mP2bNn4+3tbXoEBQWVv1PCplZuP01GThH1fdwZ2inYeg1vXwxp28ClBjz6DmitlIQJIYS4a862DuBuzJkzh4SEBJKTk3Fz+2NeyKBBg0zbrVu3pk2bNjRp0oTk5GR69Ohxw36mTJnC+PHjTc9zc3MlIaqCLuQVm+5MP/6BZri5aK3TcPouSPq3cbvPq1DbBjeCFUIIUW42HRmqU6cOWq2Wc+fOmZWfO3eOgICAW753/vz5zJkzh02bNtGmTZtb1m3cuDF16tThxIkTZb7u6uqKl5eX2UNUPQs3HyW/+CptGnjzcNv61mm08BL8dzgYrsK9j0L4X63TrhBCiApj02RIp9MRERFhNvn52mToTp063fR98+bN4+WXX2bjxo20b3/7NVzOnj1LVlYW9erVq5C4hf059FsOCT+cAWD6gy1xctJUfqMGA6x/FnJ/hVpN4MHFoLFCu0IIISqUza8mGz9+PMuXL2f16tUcOXKEkSNHUlBQwPDhwwEYOnQoU6ZMMdWfO3cu06ZNY8WKFQQHB5OZmUlmZib5+fkA5Ofn88ILL7Bz505Onz5NYmIi/fv3p2nTpsTFxdmkj6JyKaV4+YvDKAUPtqlH++Bat39TRdi2AI5vAq0rDFwNbjKiKIQQVZHN5wzFx8dz4cIFpk+fTmZmJuHh4WzcuNE0qTo9PR2n6+70vXTpUkpKSvjLX/5itp8ZM2Ywc+ZMtFot+/fvZ/Xq1WRnZxMYGEjPnj15+eWXcXWVWyJUR5///Bs7T17C1dmJyb3vsU6jxzfDln8Zt/u8CgGtrdOuEEKICqdRSilbB2FvcnNz8fb2JicnR+YP2bm8olJ6LNjK+bxiJjzQzDr3ILt0Et7ubryMPuJJ6Pda5bcphBDitsr7+23z02RC3I3F3x7nfF4xwbU9eCa6ceU3WJQLawYbE6EGHaD3vMpvUwghRKWSZEhUWYd+y2HVjtMAzOp/L67OlXwpvf4q/PdvcOEX8KwHA9+Tu9ELIUQ1IMmQqJKu6g1M/vQAeoOiT+sAopv5VX6jm6bCic3g7A6DPgKvwMpvUwghRKWTZEhUSSu2n+LArzl4uTkz86FWld9gyhLYtdS4/fBSqN+u8tsUQghhFZIMiSonLauAhb/ff2xq35aVf1f6g+vgm38Yt2NnQauHK7c9IYQQViXJkKhS9AbFxE9+pqjUQFST2jzWvkHlNpiaZFxYEaDjM9B5TOW2J4QQwuokGRJVyjvfn+SH05epodMy99E2aCpzxeczuyFhCOhLoMVD0GuOrDAthBDVkCRDosr4JTOXBZuMp8em92tJUC2PymssYz98+BcoLYAm9xvvRO9kpRu/CiGEsCpJhkSVUFSqZ2zCT5ToDfS4py4D2wdVXmOZB+C9h4xrCQVFQvwHcgm9EEJUY5IMiSrhpS8O80tmHnVq6pj9aOvKOz2WsR9W94Mrl6F+BAz5BHQ1KqctIYQQdkGSIWH3vtyfwUe70gFYODC88q4eS98Fqx/8IxF6Yj24eVdOW0IIIeyGJEPCrqVeyGfyp/sBeL57E7pV1uKKqVvg/QG/nxq7TxIhIYRwIDa/a70QN5NXVMoz7/1IXvFVOgT7Mu6BZpXT0M8fw2ejwFBqnCwd/4GcGhNCCAciI0PCLhkMiglrfyb1QgEBXm78Z0gELtoK/rgqBd/Nh/XPGBOhVg/D4ARJhIQQwsHIyJCwS/M3HWXT4XPonJ1Y9kQEfp4VfDVXaRH8bwzsTzA+j/o/4+rSTvL/AyGEcDSSDAm7s2Z3Ov9JTgVg9sOtCQ/yqdgGcjPg4yHw6x7QaKH3XOg4omLbEEIIUWVIMiTsStLR80zdcBCAMT1CeTSigm+3cTIZPn0aCi6Amw8MXA2Nu1dsG0IIIaoUSYaE3dh1Movn3t+D3qB4pF19xsaGVtzODXr4fgEkzwZlAP97YeB7ULtJxbUhhBCiSpJkSNiFn89k89TqHym+auD+e+oy55EKvO/Y5TTjzVbTU4zP2z4OfeaDi3vF7F8IIUSVJsmQsLm96ZcZtmI3+cVX6dS4Nv8Z0g6dcwVMZFYK9qyCTdOgJA90ntB3PoQNuvt9CyGEqDYkGRI2tfNkFk+t+oGCEj3tG/myfFh73Fwq4IaoWanwxTg4tdX4PCgSHnkbfIPvft9CCCGqFUmGhM1sPJjBmISfKL5qoHPT2iwf2h4P3V1+JEuLYPtrxvlB+mJwdoce0yDyObnrvBBCiDJJMiSsTinFu9tO8a+vjqAUxLaoy5t/bXd3I0JKweENsHk6ZBvvY0bj7tB3oUySFkIIcUuSDAmrKirVM/2zg6z98SwAT9zXiBn9WuJ8N6tLn94GiS/BmV3G5571oOcrcO+jUFl3txdCCFFtSDIkrCY9q5CRH+7h0G+5OGlgSu8WPN01pPxXjaXtgK3z4GSS8bmzO3QeA53/T26pIYQQ4o5JMiQqnVKKT/acZdbnhygo0VOrho43Brelc9M6lu/MoIdj38CO1/+4VN7JGSKehK4TwatehcYuhBCi+pNkSFSqjJwrTP/sEJsPnwOgfSNfXhvclvo+Fq7xU3gJfk6A3W/D5VPGMq0OwodAl7FylZgQQohyk2RIVIqSqwbeSznNos3HKCjR46LVMO6BZjzbrQlapzs8LWbQw6nv4Oc1cPgzuFpkLHfzgYhhxivEvAIrrQ9CCCEcgyRDokIZDIovDmQw/5ujpF8qBCCikS//evhe7gnwupMdwNndcGiDMQHK++2P1wJaQ8Rw46KJMidICCFEBZFkSFSIUr2Bz3/6jWVbUzl+Ph+AOjVdmdizGQPbB+F0q9GgohzjCNCxb4yPgvN/vObmA63/AmF/hfrt5OowIYQQFU6SIXFXzl4uZO0PZ0j44Qzn84oB8HR1ZkS3xjzVJYQarmV8xIpy4OwPcHq78bL4X/eA0v/xuqsXNO8NLQdA0x7g7Gql3gghhHBEdpEMLVmyhFdffZXMzEzCwsJ444036Nix403rf/LJJ0ybNo3Tp08TGhrK3Llz6dOnj+l1pRQzZsxg+fLlZGdn07lzZ5YuXUpoaAXeBd2BpWcVkvjLOb7cn8GPaZdN5XVquvK3LsE8fl8jvNxcjIVXLsP5I5CxHzJ+ht/2woWjgDLfae2m0KSHMQlq1BmcddbrkBBCCIdm82To448/Zvz48SxbtozIyEgWL15MXFwcR48epW7dujfU37FjB4MHD2b27Nk8+OCDfPTRRwwYMIC9e/dy7733AjBv3jxef/11Vq9eTUhICNOmTSMuLo7Dhw/j5uZm7S5WaXqDIi2rgJ/PZvPD6cvsTM3i5MUC0+sajaJnI2eGtNDSqXYhLrlfw7cn4eJx4yM/s+wd+wZDwygI7gIhXcGnoXU6JIQQQvyJRimlbl+t8kRGRtKhQwfefPNNAAwGA0FBQfz9739n8uTJN9SPj4+noKCAL774wlR23333ER4ezrJly1BKERgYyIQJE5g4cSIAOTk5+Pv7s2rVKgYNuv0dy3Nzc/H29iYnJwcvrzuY9HuHcrOzKMi5WGH7uxtKGf+ur+r1FJdcpbCoiILCK+Tk55OTl8+lnFxyc3PIyclGpy/Ai0K8NQX4kE8tpzwauhZST5tDzdIsNPqSWzfm3RD8W0K9cAgMh/rtoaafdToqhBDCYZT399umI0MlJSXs2bOHKVOmmMqcnJyIjY0lJSWlzPekpKQwfvx4s7K4uDg2bNgAwKlTp8jMzCQ2Ntb0ure3N5GRkaSkpJSZDBUXF1NcXGx6npube1f9uplDny2k06k3K2Xflcbp98eflf7+uKamP3g3MI74+AYbT3vVDgW/5uBWcQmlEEIIUdFsmgxdvHgRvV6Pv7+/Wbm/vz+//PJLme/JzMwss35mZqbp9WtlN6vzZ7Nnz2bWrFnl6oMlNFpnipRLpbdzpww4gQYMaNFrtBg0zhicXFBaV3DxQOvqgauHF+41fdC4eRqv7HL3hRp1wKO2MQGq6Q+eATLJWQghRJVl8zlDigTBrgAAFpdJREFU9mDKlClmo025ubkEBQVVeDv3PT4LqPykSwghhBB37i5uFX736tSpg1ar5dy5c2bl586dIyAgoMz3BAQE3LL+tT8t2aerqyteXl5mDyGEEEI4BpsmQzqdjoiICBITE01lBoOBxMREOnXqVOZ7OnXqZFYfYPPmzab6ISEhBAQEmNXJzc1l165dN92nEEIIIRyXzU+TjR8/nmHDhtG+fXs6duzI4sWLKSgoYPjw4QAMHTqU+vXrM3v2bADGjBlDdHQ0CxYsoG/fviQkJPDjjz/y9ttvA6DRaBg7diyvvPIKoaGhpkvrAwMDGTBggM36KYQQQgj7ZPNkKD4+ngsXLjB9+nQyMzMJDw9n48aNpgnQ6enpODn9MYAVFRXFRx99xNSpU/nHP/5BaGgoGzZsMK0xBDBp0iQKCgp45plnyM7OpkuXLmzcuFHWGBJCCCHEDWy+zpA9qqx1hoQQQghRecr7+23TOUNCCCGEELYmyZAQQgghHJokQ0IIIYRwaJIMCSGEEMKhSTIkhBBCCIcmyZAQQgghHJokQ0IIIYRwaJIMCSGEEMKhSTIkhBBCCIdm89tx2KNri3Ln5ubaOBIhhBBC3Klrv9uW3lxDkqEy5OXlARAUFGTjSIQQQghhqby8PLy9ve+4vtybrAwGg4HffvsNT09PNBpNhe47NzeXoKAgzpw5Uy3veyb9q/qqex+lf1Vfde+j9K/8lFLk5eURGBhodpP325GRoTI4OTnRoEGDSm3Dy8urWn7Ir5H+VX3VvY/Sv6qvuvdR+lc+lowIXSMTqIUQQgjh0CQZEkIIIYRD086cOXOmrYNwNFqtlu7du+PsXD3PUkr/qr7q3kfpX9VX3fso/bMumUAthBBCCIcmp8mEEEII4dAkGRJCCCGEQ5NkSAghhBAOTZIhIYQQQjg0SYbu0pIlSwgODsbNzY3IyEh27959y/qffPIJ99xzD25ubrRu3ZqvvvrK7HWlFNOnT6devXq4u7sTGxvL8ePHK7MLt2RJ/5YvX07Xrl3x9fXF19eX2NjYG+o/+eSTaDQas0evXr0quxu3ZEkfV61adUP8bm5uZnWq8jHs3r37Df3TaDT07dvXVMeejuF3331Hv379CAwMRKPRsGHDhtu+Jzk5mXbt2uHq6krTpk1ZtWrVDXUs/V5XJkv7uG7dOh544AH8/Pzw8vKiU6dOfPPNN2Z1Zs6cecMxvOeeeyqzGzdlaf+Sk5PL/IxmZmaa1bOXY2hp/8r6fmk0Glq1amWqY0/Hb/bs2XTo0AFPT0/q1q3LgAEDOHr06G3fZ2+/hZIM3YWPP/6Y8ePHM2PGDPbu3UtYWBhxcXGcP3++zPo7duxg8ODBPPXUU+zbt48BAwYwYMAADh48aKozb948Xn/9dZYtW8auXbuoUaMGcXFxFBUVWatbJpb2Lzk5mcGDB5OUlERKSgpBQUH07NmTX3/91axer169yMjIMD3WrFljje6UydI+gnHV1OvjT0tLM3u9Kh/DdevWmfXt4MGDaLVaHnvsMbN69nIMCwoKCAsLY8mSJXdU/9SpU/Tt25eYmBh++uknxo4dy9NPP22WLJTnM1GZLO3jd999xwMPPMBXX33Fnj17iImJoV+/fuzbt8+sXqtWrcyO4bZt2yoj/NuytH/XHD161Cz+unXrml6zp2Noaf9ee+01s36dOXOGWrVq3fAdtJfjt3XrVkaNGsXOnTvZvHkzpaWl9OzZk4KCgpu+xy5/C5Uot44dO6pRo0aZnuv1ehUYGKhmz55dZv2BAweqvn37mpVFRkaqZ599VimllMFgUAEBAerVV181vZ6dna1cXV3VmjVrKqEHt2Zp//7s6tWrytPTU61evdpUNmzYMNW/f/8Kj7W8LO3jypUrlbe39033V92O4aJFi5Snp6fKz883ldnbMbwGUOvXr79lnUmTJqlWrVqZlcXHx6u4uDjT87v9O6tMd9LHsrRs2VLNmjXL9HzGjBkqLCysIkOrEHfSv6SkJAWoy5cv37SOvR7D8hy/9evXK41Go06fPm0qs9fjp5RS58+fV4DaunXrTevY42+hjAyVU0lJCXv27CE2NtZU5uTkRGxsLCkpKWW+JyUlxaw+QFxcnKn+qVOnyMzMNKvj7e1NZGTkTfdZWcrTvz8rLCyktLSUWrVqmZUnJydTt25dmjdvzsiRI8nKyqrQ2O9UefuYn59Po0aNCAoKon///hw6dMj0WnU7hu+++y6DBg2iRo0aZuX2cgwtdbvvYEX8ndkbg8FAXl7eDd/D48ePExgYSOPGjRkyZAjp6ek2irB8wsPDqVevHg888ADbt283lVe3Y/juu+8SGxtLo0aNzMrt9fjl5OQA3PB5u549/hZKMlROFy9eRK/X4+/vb1bu7+9/w7nrazIzM29Z/9qfluyzspSnf3/24osvEhgYaPaB7tWrF++99x6JiYnMnTuXrVu30rt3b/R6fYXGfyfK08fmzZuzYsUKPvvsMz744AMMBgNRUVGcPXsWqF7HcPfu3Rw8eJCnn37arNyejqGlbvYdzM3N5cqVKxXyubc38+fPJz8/n4EDB5rKIiMjWbVqFRs3bmTp0qWcOnWKrl27kpeXZ8NI70y9evVYtmwZn376KZ9++ilBQUF0796dvXv3AhXzb5e9+O233/j6669v+A7a6/EzGAyMHTuWzp07c++99960nj3+FtrHOtii2pkzZw4JCQkkJyebTTAeNGiQabt169a0adOGJk2akJycTI8ePWwRqkU6depEp06dTM+joqJo0aIFb731Fi+//LINI6t47777Lq1bt6Zjx45m5VX9GDqSjz76iFmzZvHZZ5+Zzanp3bu3abtNmzZERkbSqFEj1q5dy1NPPWWLUO9Y8+bNad68uel5VFQUqampLFq0iPfff9+GkVW81atX4+Pjw4ABA8zK7fX4jRo1ioMHD9ps/tLdkJGhcqpTpw5arZZz586ZlZ87d46AgIAy3xMQEHDL+tf+tGSflaU8/btm/vz5zJkzh02bNtGmTZtb1m3cuDF16tThxIkTdx2zpe6mj9e4uLjQtm1bU/zV5RgWFBSQkJBwR/+w2vIYWupm30EvLy/c3d0r5DNhLxISEnj66adZu3btDack/szHx4dmzZpViWNYlo4dO5piry7HUCnFihUreOKJJ9DpdLesaw/Hb/To0XzxxRckJSXRoEGDW9a1x99CSYbKSafTERERQWJioqnMYDCQmJhoNnJwvU6dOpnVB9i8ebOpfkhICAEBAWZ1cnNz2bVr1033WVnK0z8wXgHw8ssvs3HjRtq3b3/bds6ePUtWVhb16tWrkLgtUd4+Xk+v13PgwAFT/NXhGILxstfi4mIef/zx27Zjy2Noqdt9ByviM2EP1qxZw/Dhw1mzZo3Zsgg3k5+fT2pqapU4hmX56aefTLFXl2O4detWTpw4cUf/IbHl8VNKMXr0aNavX8+WLVsICQm57Xvs8rewUqZlO4iEhATl6uqqVq1apQ4fPqyeeeYZ5ePjozIzM5VSSj3xxBNq8uTJpvrbt29Xzs7Oav78+erIkSNqxowZysXFRR04cMBUZ86cOcrHx0d99tlnav/+/ap///4qJCREXblyxe77N2fOHKXT6dR///tflZGRYXrk5eUppZTKy8tTEydOVCkpKerUqVPq22+/Ve3atVOhoaGqqKjI6v0rTx9nzZqlvvnmG5Wamqr27NmjBg0apNzc3NShQ4dMdaryMbymS5cuKj4+/oZyezuGeXl5at++fWrfvn0KUAsXLlT79u1TaWlpSimlJk+erJ544glT/ZMnTyoPDw/1wgsvqCNHjqglS5YorVarNm7caKpzu78za7O0jx9++KFydnZWS5YsMfseZmdnm+pMmDBBJScnq1OnTqnt27er2NhYVadOHXX+/Hm779+iRYvUhg0b1PHjx9WBAwfUmDFjlJOTk/r2229NdezpGFrav2sef/xxFRkZWeY+7en4jRw5Unl7e6vk5GSzz1thYaGpTlX4LZRk6C698cYbqmHDhkqn06mOHTuqnTt3ml6Ljo5Ww4YNM6u/du1a1axZM6XT6VSrVq3Ul19+afa6wWBQ06ZNU/7+/srV1VX16NFDHT161BpdKZMl/WvUqJECbnjMmDFDKaVUYWGh6tmzp/Lz81MuLi6qUaNGasSIETb7kbnGkj6OHTvWVNff31/16dNH7d2712x/VfkYKqXUL7/8ogC1adOmG/Zlb8fw2mXWf35c69OwYcNUdHT0De8JDw9XOp1ONW7cWK1cufKG/d7q78zaLO1jdHT0LesrZVxOoF69ekqn06n69eur+Ph4deLECet27HeW9m/u3LmqSZMmys3NTdWqVUt1795dbdmy5Yb92ssxLM9nNDs7W7m7u6u33367zH3a0/Erq2+A2feqKvwWan7vjBBCCCGEQ5I5Q0IIIYRwaJIMCSGEEMKhSTIkhBBCCIcmyZAQQgghHJokQ0IIIYRwaJIMCSGEEMKhSTIkhBBCCIcmyZAQQgghHJokQ0IIUclWrVqFj49PpbcTHByMRqNBo9GQnZ19y3iu1Rs7dmylxyWEvZNkSIhqbtmyZXh6enL16lVTWX5+Pi4uLnTv3t2sbnJyMhqNhtTU1Dvat7V+5Mtr5syZhIeHW7XN4OBgFi9ebFYWHx/PsWPHrNL+Sy+9REZGBt7e3jetEx8fT0ZGRpW6cakQlUmSISGquZiYGPLz8/nxxx9NZd9//z0BAQHs2rWLoqIiU3lSUhINGzakSZMmVo1Rr9djMBis2qYllFJmyaSl3N3dqVu3bgVGdHOenp4EBASg0WhuGU9AQAA6nc4qMQlh7yQZEqKaa968OfXq1SM5OdlUlpycTP/+/QkJCWHnzp1m5TExMabnCxcupHXr1tSoUYOgoCCef/558vPzTXWHDx9OTk6O6ZTLzJkzASguLmbixInUr1+fGjVqEBkZadb+tRGlzz//nJYtW+Lq6kp6evoNsV++fJkhQ4bg5+eHu7s7oaGhrFy50vT6iy++SLNmzfDw8KBx48ZMmzaN0tJSUxuzZs3i559/NsW3atUqTp8+jUaj4aeffjLtJzs7G41GY4rx2gjZ119/TUREBK6urmzbto3U1FT69++Pv78/NWvWpEOHDnz77bem/XTv3p20tDTGjRtnavP6/l5v6dKlNGnSBJ1OR/PmzXn//ffNXtdoNLzzzjs8/PDDeHh4EBoayueff37T4yyEKD9JhoRwADExMSQlJZmeJyUl0b17d6Kjo03lV65cYdeuXWbJkJOTE6+//jqHDh1i9erVbNmyhUmTJgEQFRXF4sWL8fLyIiMjg4yMDCZOnAjA6NGjSUlJISEhgf379/PYY4/Rq1cvjh8/btp3YWEhc+fO5Z133uHQoUNljpxMmzaNw4cP8/XXX3PkyBGWLl1KnTp1TK97enqyatUqDh8+zGuvvcby5ctZtGgRYDwVNGHCBFq1amWKLz4+3qK/t8mTJzNnzhyOHDlCmzZtyM/Pp0+fPiQmJrJv3z569epFv379TIncunXraNCggelUVUZGRpn7Xb9+PWPGjGHChAkcPHiQZ599luHDh5sdI4BZs2YxcOBA9u/fT58+fRgyZAiXLl2yqA9CiDtw9ze+F0LYu+XLl6saNWqo0tJSlZubq5ydndX58+fVRx99pLp166aUUioxMVEBKi0t7ab7+eSTT1Tt2rVNz1euXKm8vb3N6qSlpSmtVqt+/fVXs/IePXqoKVOmmN4HqJ9++umWcffr108NHz78jvv56quvqoiICNPzGTNmqLCwMLM6p06dUoDat2+fqezy5csKUElJSUoppZKSkhSgNmzYcNs2W7Vqpd544w3T80aNGqlFixaZ1fnz31NUVJQaMWKEWZ3HHntM9enTx/QcUFOnTjU9z8/PV4D6+uuvbxpLWW3fSnR0tBozZswd1xeiupKRISEcQPfu3SkoKOCHH37g+++/p1mzZvj5+REdHW2aN5ScnEzjxo1p2LCh6X3ffvstPXr0oH79+nh6evLEE0+QlZVFYWHhTds6cOAAer2eZs2aUbNmTdNj69atZhOzdTodbdq0uWXcI0eOJCEhgfDwcCZNmsSOHTvMXv/444/p3LkzAQEB1KxZk6lTp5Z5uq282rdvb/Y8Pz+fiRMn0qJFC3x8fKhZsyZHjhyxuM0jR47QuXNns7LOnTtz5MgRs7Lr/35q1KiBl5cX58+ft6it64/Bc889Z9F7hXAUzrYOQAhR+Zo2bUqDBg1ISkri8uXLREdHAxAYGEhQUBA7duwgKSmJ+++/3/Se06dP8+CDDzJy5Ej+9a9/UatWLbZt28ZTTz1FSUkJHh4eZbaVn5+PVqtlz549aLVas9dq1qxp2nZ3d7/lJF+A3r17k5aWxldffcXmzZvp0aMHo0aNYv78+aSkpDBkyBBmzZpFXFwc3t7eJCQksGDBglvu08nJ+H9ApZSp7No8oz+rUaOG2fOJEyeyefNm5s+fT9OmTXF3d+cvf/kLJSUlt2yzvFxcXMyeazQaiyeaXz83ysvLq0LiEqK6kWRICAcRExNDcnIyly9f5oUXXjCVd+vWja+//prdu3czcuRIU/mePXswGAwsWLDAlECsXbvWbJ86nQ69Xm9W1rZtW/R6PefPn6dr1653Hbefnx/Dhg1j2LBhdO3alRdeeIH58+ezY8cOGjVqxD//+U9T3bS0tNvG5+fnB0BGRgZt27YFzBOGW9m+fTtPPvkkDz/8MGBM/E6fPn3bNv+sRYsWbN++nWHDhpntu2XLlncUhyWaNm1a4fsUorqRZEgIBxETE8OoUaMoLS01jQwBREdHM3r0aEpKSswmTzdt2pTS0lLeeOMN+vXrx/bt21m2bJnZPoODg8nPzycxMZGwsDA8PDxo1qwZQ4YMYejQoSxYsIC2bdty4cIFEhMTadOmDX379r3jmKdPn05ERAStWrWiuLiYL774ghYtWgAQGhpKeno6CQkJdOjQgS+//JL169ffEN+pU6f46aefaNCgAZ6enri7u3PfffcxZ84cQkJCOH/+PFOnTr2jeEJDQ1m3bh39+vVDo9Ewbdq0G0ZqgoOD+e677xg0aBCurq5mE76veeGFFxg4cCBt27YlNjaW//3vf6xbt87syjQhhPXInCEhHERMTAxXrlyhadOm+Pv7m8qjo6PJy8szXYJ/TVhYGAsXLmTu3Lnce++9fPjhh8yePdtsn1FRUTz33HPEx8fj5+fHvHnzAFi5ciVDhw5lwoQJNG/enAEDBvDDDz+YzUe6EzqdjilTptCmTRu6deuGVqslISEBgIceeohx48YxevRowsPD2bFjB9OmTTN7/6OPPkqvXr2IiYnBz8+PNWvWALBixQquXr1KREQEY8eO5ZVXXrmjeBYuXIivry9RUVH069ePuLg42rVrZ1bnpZde4vTp0zRp0sQ0CvVnAwYM4LXXXmP+/Pm0atWKt956i5UrV96wCKYQwjo06voT50IIIaqs4OBgxo4de8e32OjevTvh4eE3rJgthKORkSEhhKhGXnzxRWrWrElOTs5N63z44YfUrFmT77//3oqRCWG/ZGRICCGqibS0NNOVcY0bNzZNfP+zvLw8zp07B4CPj0+Z85qEcCSSDAkhhBDCoclpMiGEEEI4NEmGhBBCCOHQJBkSQgghhEOTZEgIIYQQDk2SISGEEEI4NEmGhBBCCOHQJBkSQgghhEOTZEgIIYQQDu3/Aeayn83dcckJAAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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b9QEA9RZBCE5xYY306x4t9Osfg1F+ySmt2XtUa3KOaE3OUe0sKNXuwjLtLizT39dU3ZUWGxqonvER6hUfrp6tItQ+pgkTPAIA6g2CEM4rJjRQQxKba0hi1UDdY2UVWrvvmNbkHNF3e49py8ES5ZWc0r82HdK/NlVNLtYkwE9JLcPUKz5CPVuFK6llmIKsHGYA6j+T3VvkFd7oY/5CodbCG1s1sFO0BnaqmtzxRMUZbdpfou/2HtV3e49qQ26xjpef0bL/FGnZf6p+jM/Xx6JOsSHq0Spc3VuFq0ercMWFXXiWUgC4nJydB6eiouKisyzjlzk7m3Vdzj1EEMIlC7L6KbltUyW3bSpJqnQY2pZn17p9x7R23zGt23tUh0pOafPBEm0+WKJ5K/dKkmJCAp3BqHvLMP2qeaisfpf/XBMAzMnPz09BQUEqLCyUv79/vZgbpz5yOBwqLCxUUFBQnc5QzTxC8KiDxSe1ft+xH8PRUW3LO65KR/VDzurno65xoerWMkzdW4arW8twxYQyV4cT8wgBXldRUaGcnJzzzs4M9/Dx8VHr1q1ltVrPWcc8QqiX4sIaKS6skQb/OM7oRMUZfX+gROv2HdP6fce0PveYjp04rbU/nkWSciRJzUMD1a1luLq1DFO3H88aBfpf3tO0A2i4rFar2rVr57x0A8+wWq11fsaNIIQ6FWT1c85kLVUNjNt75IQzFG3ILdb2fLsOlZzSoc15+mJzniTJ37dqrFGSLUxJLcOUZAtXfNMgbt0HUGd8fHyYWboBIgjBqywWi1pHNlbryMbO2/bLys9o04GqGa837i/WhtxjKiqt0KYDJdp0oERvrdonSQoL8ldii7CfwlGLMIU3Pvd0KgAA50MQwmWncYCf+raNVN+2kZKqzhodOHZSG/YXa2NusTbsP6ath+wqPnFa2TsLlb2z0Lltq6ZBznCUaAvlkhoA4IIIQrjsWSwW2SKCZIsIcs5pVHHGoW15dm3cX3XWaNP+Yu0pKtO+Iye078gJffbjvEZ+Pha1j2miRFuYEluEKtEWpnZRTPoIAKhCEEK9ZPXzqQo3tjCN/HFZyYnT2nSgKhRtOlAVkIpKK5w/E/L+t1XtGvn7qnNciLq2CFPXFqFKbBGmVow3AgBTIgihwQgN8te1VzTTtVc0k1R1Se1QySl9v79YG38MSFsO2lVafkbf7T2m7/Yec24bEujnDEZn/xkbGkg4AoAGjiCEBstisThv37+xS6wkyeEwtKeoVJv2l2jTgWJ9f6BEP+TZZT91Rst3FWn5riLn9pHBAeraIlRd4kKr/tkiVFFNuGMEABoSghBMxcfHooSoJkqIauK8S63ijEM7C47r+wMl+v5AsTYdKNHOguMqKi3X4u2HtXj7Yef2MSGB6tIiVGGN/PWb3jb1aBXhrY8CAHADghBMz+rno85xoeocF6rf9mkpSTp1ulI/5Nn1/f5ibT5o1/cHirW7sFT59lPK/+GUJOmjdQe045kbFODHXWkAUF8RhIAaBPr7qnvLcHVvGe5cVlZ+Rj/k2bV+3zFlfLVdknTqtIMgBAD1GL8cB9RS4wA/9YqP0OirW3u7FACAmxCEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaXk9CM2ZM0fx8fEKDAxUnz59tGbNmgu2nzVrltq3b69GjRrJZrPp4Ycf1qlTp+qoWgAA0JB4NQjNnz9f6enpmjJlitavX6/ExESlpaXp8OHDNbZ///33NWHCBE2ZMkXbtm3TX//6V82fP1+TJk2q48oBAEBD4NUgNGPGDN19990aNWqUOnXqpLlz5yooKEhvvvlmje1Xrlypq666Sr/97W8VHx+v66+/XsOHD7/oWSQAAICa+HnrjSsqKrRu3TpNnDjRuczHx0epqalatWpVjdv07dtX7777rtasWaPevXtrz549+vLLL3XHHXec933Ky8tVXl7ufG232933IYB6qsB+SiPfXKPDx8sv3hgAXNS1Rajmjert7TJqxWtBqKioSJWVlYqOjq62PDo6Wtu3b69xm9/+9rcqKirS1VdfLcMwdObMGY0dO/aCl8YyMjI0depUt9YO1Hdrco5qe/5xb5cBoIGynzzt7RJqzWtB6FJkZWVp+vTp+vOf/6w+ffpo165devDBB/X000/rySefrHGbiRMnKj093fnabrfLZrPVVcnAZS2xRahe/L9Eb5cBoIEJ9Pf1dgm15rUgFBkZKV9fXxUUFFRbXlBQoJiYmBq3efLJJ3XHHXdozJgxkqQuXbqorKxM99xzj/7whz/Ix+fcIU8BAQEKCAhw/wcAGoBGVl+1i27i7TIAwGu8NljaarWqR48eyszMdC5zOBzKzMxUcnJyjducOHHinLDj61uVOg3D8FyxAACgQfLqpbH09HSNHDlSPXv2VO/evTVr1iyVlZVp1KhRkqQRI0YoLi5OGRkZkqTBgwdrxowZ6tatm/PS2JNPPqnBgwc7AxEAAEBteTUIDRs2TIWFhZo8ebLy8/OVlJSkhQsXOgdQ5+bmVjsD9MQTT8hiseiJJ57QwYMH1axZMw0ePFjPPvustz4CAACox7w+WHrcuHEaN25cjeuysrKqvfbz89OUKVM0ZcqUOqgMAAA0dF7/iQ0AAABvIQgBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADT8ruUjYqLi7VmzRodPnxYDoej2roRI0a4pTAAAABPczkI/etf/9Ltt9+u0tJShYSEyGKxONdZLBaCEAAAqDdcvjT2yCOPaPTo0SotLVVxcbGOHTvmfBw9etQTNQIAAHiEy0Ho4MGDeuCBBxQUFOSJegAAAOqMy0EoLS1Na9eu9UQtAAAAdcrlMUI33XSTHn30Uf3www/q0qWL/P39q60fMmSI24oDAADwJJeD0N133y1JmjZt2jnrLBaLKisrf3lVAAAAdcDlIPTz2+UBAADqKyZUBAAApnVJQSg7O1uDBw9WQkKCEhISNGTIEC1btszdtQEAAHiUy0Ho3XffVWpqqoKCgvTAAw/ogQceUKNGjXTdddfp/fff90SNAAAAHuHyGKFnn31WL7zwgh5++GHnsgceeEAzZszQ008/rd/+9rduLRAAAMBTXD4jtGfPHg0ePPic5UOGDFFOTo5bigIAAKgLLgchm82mzMzMc5Z/8803stlsbikKAACgLrh8aeyRRx7RAw88oI0bN6pv376SpBUrVmjevHl6+eWX3V4gAACAp7gchO69917FxMTopZde0ocffihJ6tixo+bPn6+bb77Z7QUCAAB4istBSJJuueUW3XLLLe6uBQAAoE4xoSIAADCtWp0RioiI0M6dOxUZGanw8HBZLJbztj169KjbigMAAPCkWgWhmTNnqkmTJs7nFwpCrpozZ47++Mc/Kj8/X4mJifrTn/6k3r17n7d9cXGx/vCHP+iTTz7R0aNH1apVK82aNUuDBg1yW00AAMAcahWERo4c6Xx+5513uu3N58+fr/T0dM2dO1d9+vTRrFmzlJaWph07digqKuqc9hUVFRo4cKCioqL0j3/8Q3Fxcdq3b5/CwsLcVhMAADAPl8cI+fr66vDhw+csP3LkiHx9fV3a14wZM3T33Xdr1KhR6tSpk+bOnaugoCC9+eabNbZ/8803dfToUS1YsEBXXXWV4uPj1a9fPyUmJrr6MQAAAFwPQoZh1Li8vLxcVqu11vupqKjQunXrlJqa+lMxPj5KTU3VqlWratzms88+U3Jysu677z5FR0erc+fOmj59uiorK8/7PuXl5bLb7dUeAAAAkgu3z7/yyiuSJIvFojfeeEPBwcHOdZWVlVq6dKk6dOhQ6zcuKipSZWWloqOjqy2Pjo7W9u3ba9xmz549Wrx4sW6//XZ9+eWX2rVrl37/+9/r9OnTmjJlSo3bZGRkaOrUqbWuCwAAmEetg9DMmTMlVZ0Rmjt3brXLYFarVfHx8Zo7d677K/wvDodDUVFR+stf/iJfX1/16NFDBw8e1B//+MfzBqGJEycqPT3d+dput/NTIAAAQJILQejsD6r2799fn3zyicLDw3/RG0dGRsrX11cFBQXVlhcUFCgmJqbGbWJjY+Xv718thHXs2FH5+fmqqKio8dJcQECAAgICflGtAACgYXJ5jNCSJUt+cQiSqs4i9ejRo9oPuDocDmVmZio5ObnGba666irt2rVLDofDuWznzp2KjY11aXwSAACAdIk/sXHgwAF99tlnys3NVUVFRbV1M2bMqPV+0tPTNXLkSPXs2VO9e/fWrFmzVFZWplGjRkmSRowYobi4OGVkZEiq+p2z2bNn68EHH9T999+v//znP5o+fboeeOCBS/kYAADA5FwOQpmZmRoyZIjatGmj7du3q3Pnztq7d68Mw1D37t1d2tewYcNUWFioyZMnKz8/X0lJSVq4cKFzAHVubq58fH46aWWz2fT111/r4YcfVteuXRUXF6cHH3xQjz/+uKsfAwAAwPUgNHHiRI0fP15Tp05VkyZN9PHHHysqKkq33367brjhBpcLGDdunMaNG1fjuqysrHOWJScna/Xq1S6/DwAAwM+5PEZo27ZtGjFihCTJz89PJ0+eVHBwsKZNm6bnn3/e7QUCAAB4istBqHHjxs5xQbGxsdq9e7dzXVFRkfsqAwAA8DCXL41deeWVWr58uTp27KhBgwbpkUce0ebNm/XJJ5/oyiuv9ESNAAAAHuFyEJoxY4ZKS0slSVOnTlVpaanmz5+vdu3auXTHGAAAgLe5FIQqKyt14MABde3aVVLVZTJPzyYNAADgKS6NEfL19dX111+vY8eOeaoeAACAOuPyYOnOnTtrz549nqgFAACgTrkchJ555hmNHz9en3/+ufLy8mS326s9AAAA6guXB0sPGjRIkjRkyBBZLBbncsMwZLFYVFlZ6b7qAAAAPMjlILRkyRJP1AEAAFDnXA5C/fr180QdAAAAdc7lILR06dILrr/22msvuRigvtmWZ1dwgMv/GbnEcvqEfvXj862H7DL8z/zifeYePfGL9wEADYHL3+ApKSnnLPvvsUKMEYKZ/OYvnv8B4EY6pW2BVc9vnbtSJxXotn1bZLl4IwBowFwOQj+fQ+j06dPasGGDnnzyST377LNuKwy4XPn7+ui3fVpqyfbDdfJ+gYakqp/3U0xIoE5Z3BOEfH0surVHC7fsCwDqK4thGIY7dpSdna309HStW7fOHbvzGLvdrtDQUJWUlCgkJMTb5QAXV1EmTW9e9XzSIcna2Lv1AIAXeOrvt8vzCJ1PdHS0duzY4a7dAQAAeJzLl8a+//77aq8Nw1BeXp6ee+45JSUlua0wAAAAT3M5CCUlJclisejnV9SuvPJKvfnmm24rDAAAwNNcDkI5OTnVXvv4+KhZs2YKDHTfnSwAAAB1weUxQtnZ2YqJiVGrVq3UqlUr2Ww2BQYGqqKiQm+//bYnagQAAPAIl4PQqFGjVFJScs7y48ePa9SoUW4pCgAAoC64HITO/rjqzx04cEChoaFuKQoAAKAu1HqMULdu3WSxWGSxWHTdddfJz++nTSsrK5WTk6MbbrjBI0UCAAB4Qq2D0NChQyVJGzduVFpamoKDg53rrFar4uPj9etf/9r9FQIAAHhIrYPQlClTJEnx8fEaNmwYd4kBAIB6z+Xb50eOHOmJOgAAAOqcy0GosrJSM2fO1Icffqjc3FxVVFRUW3/06FG3FQcAAOBJLt81NnXqVM2YMUPDhg1TSUmJ0tPT9b//+7/y8fHRU0895YESAQAAPMPlIPTee+/p9ddf1yOPPCI/Pz8NHz5cb7zxhiZPnqzVq1cDuYJSAAAdNUlEQVR7okYAAACPcDkI5efnq0uXLpKk4OBg5+SK//M//6MvvvjCvdUBAAB4kMtBqEWLFsrLy5MktW3bVv/+978lSd99950CAgLcWx0AAIAHuRyEbrnlFmVmZkqS7r//fj355JNq166dRowYodGjR7u9QAAAAE9x+a6x5557zvl82LBhatmypVatWqV27dpp8ODBbi0OAADAk1wOQj+XnJys5ORkd9QCAABQp1y+NPbWW29VGxT92GOPKSwsTH379tW+ffvcWhwAAIAnuRyEpk+frkaNGkmSVq1apdmzZ+uFF15QZGSkHn74YbcXCAAA4CkuXxrbv3+/EhISJEkLFizQrbfeqnvuuUdXXXWVUlJS3F0fAACAx7h8Rig4OFhHjhyRJP373//WwIEDJUmBgYE6efKke6sDAADwIJfPCA0cOFBjxoxRt27dtHPnTg0aNEiStHXrVsXHx7u7PgAAAI9x+YzQnDlzlJycrMLCQn388cdq2rSpJGndunUaPny42wsEAADwFIthGIa3i6hLdrtdoaGhKikpUUhIiLfLAS6uokya3rzq+aRDkrWxd+sBAC/w1N9vl88IAQAANBQEIQAAYFoEIQAAYFouBSHDMJSbm6tTp055qh4AAIA643IQSkhI0P79+z1VDwAAQJ1xKQj5+PioXbt2zgkVAQAA6jOXxwg999xzevTRR7VlyxZP1AMAAFBnXJ5ZesSIETpx4oQSExNltVqdP8B61tGjR91WHAAAgCe5HIRmzZrliToAAADqnMtBaOTIkZ6oAwAAoM5d0jxCu3fv1hNPPKHhw4fr8OHDkqSvvvpKW7dudWtxAAAAnuRyEMrOzlaXLl307bff6pNPPlFpaakkadOmTZoyZYrbCwQAAPAUl4PQhAkT9Mwzz2jRokWyWq3O5QMGDNDq1avdWhwAAIAnuRyENm/erFtuueWc5VFRUSoqKnJLUQAAAHXB5SAUFhamvLy8c5Zv2LBBcXFxbikKAACgLrgchH7zm9/o8ccfV35+viwWixwOh1asWKHx48drxIgRl1TEnDlzFB8fr8DAQPXp00dr1qyp1XYffPCBLBaLhg4deknvCwAAzM3lIDR9+nR16NBBNptNpaWl6tSpk6699lr17dtXTzzxhMsFzJ8/X+np6ZoyZYrWr1+vxMREpaWlOe9GO5+9e/dq/Pjxuuaaa1x+TwAAAEmyGIZhXMqG+/fv1+bNm1VaWqpu3bqpXbt2l1RAnz591KtXL82ePVuS5HA4ZLPZdP/992vChAk1blNZWalrr71Wo0eP1rJly1RcXKwFCxbU6v3sdrtCQ0NVUlKikJCQS6oZqFMVZdL05lXPJx2SrI29Ww8AeIGn/n67fEZo2rRpOnHihGw2mwYNGqTbbrtN7dq108mTJzVt2jSX9lVRUaF169YpNTX1p4J8fJSamqpVq1ZdsIaoqCjdddddrpYPAADg5HIQmjp1qnPuoP924sQJTZ061aV9FRUVqbKyUtHR0dWWR0dHKz8/v8Ztli9frr/+9a96/fXXa/Ue5eXlstvt1R4AAADSJQQhwzBksVjOWb5p0yZFRES4pajzOX78uO644w69/vrrioyMrNU2GRkZCg0NdT5sNptHawQAAPVHrX9rLDw8XBaLRRaLRVdccUW1MFRZWanS0lKNHTvWpTePjIyUr6+vCgoKqi0vKChQTEzMOe13796tvXv3avDgwc5lDoej6oP4+WnHjh1q27ZttW0mTpyo9PR052u73U4YAgAAklwIQrNmzZJhGBo9erSmTp2q0NBQ5zqr1ar4+HglJye79OZWq1U9evRQZmam8xZ4h8OhzMxMjRs37pz2HTp00ObNm6ste+KJJ3T8+HG9/PLLNQacgIAABQQEuFQXAAAwh1oHobO/Ot+6dWv17dtX/v7+bikgPT1dI0eOVM+ePdW7d2/NmjVLZWVlGjVqlCRpxIgRiouLU0ZGhgIDA9W5c+dq24eFhUnSOcsBAAAuptZB6Kx+/fo5n586dUoVFRXV1rt6S9uwYcNUWFioyZMnKz8/X0lJSVq4cKFzAHVubq58fFweygQAAHBRLs8jdOLECT322GP68MMPdeTIkXPWV1ZWuq04T2AeIdQ7zCMEAJfPPEKPPvqoFi9erFdffVUBAQF64403NHXqVDVv3lxvv/222woDAADwNJcvjf3rX//S22+/rZSUFI0aNUrXXHONEhIS1KpVK7333nu6/fbbPVEnAACA27l8Rujo0aNq06aNpKrxQEePHpUkXX311Vq6dKl7qwMAAPAgl4NQmzZtlJOTI6nqdvYPP/xQUtWZorN3cAEAANQHLgehUaNGadOmTZKkCRMmaM6cOQoMDNTDDz+sRx991O0FAgAAeIrLY4Qefvhh5/PU1FRt375d69atU0JCgrp27erW4gAAADyp1kEoJydHrVu3Pmd5q1at1KpVK7cWBQAAUBdqfWmsbdu2at26tUaPHq133nlHBw4c8GRdAAAAHlfrM0KLFy9WVlaWsrKy9Pe//10VFRVq06aNBgwYoP79+6t///7O2aABAADqg1oHoZSUFKWkpEiq+mmNlStXOoPRW2+9pdOnT6tDhw7aunWrp2oFAABwK5cHS0tSYGCgBgwYoKuvvlr9+/fXV199pddee03bt293d30AAAAe41IQqqio0OrVq7VkyRJlZWXp22+/lc1m07XXXqvZs2dX+0FWAACAy12tg9CAAQP07bffqnXr1urXr59+97vf6f3331dsbKwn6wMAAPCYWgehZcuWKTY2VgMGDFBKSor69eunpk2berI2AAAAj6r17fPFxcX6y1/+oqCgID3//PNq3ry5unTponHjxukf//iHCgsLPVknAACA21kMwzAuZcPjx49r+fLlzvFCmzZtUrt27bRlyxZ31+hWdrtdoaGhKikpUUhIiLfLAS6uokya3rzq+aRDkrWxd+sBAC/w1N9vl39r7KzGjRsrIiJCERERCg8Pl5+fn7Zt2+a2wgAAADyt1mOEHA6H1q5dq6ysLC1ZskQrVqxQWVmZ4uLi1L9/f82ZM0f9+/f3ZK0AAABuVesgFBYWprKyMsXExKh///6aOXOmUlJS1LZtW0/WBwAA4DG1DkJ//OMf1b9/f11xxRWerAcAAKDO1DoI/e53v/NkHQAAAHXukgdLAwAA1HcEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFoEIQAAYFqXRRCaM2eO4uPjFRgYqD59+mjNmjXnbfv666/rmmuuUXh4uMLDw5WamnrB9gAAAOfj9SA0f/58paena8qUKVq/fr0SExOVlpamw4cP19g+KytLw4cP15IlS7Rq1SrZbDZdf/31OnjwYB1XDgAA6juLYRiGNwvo06ePevXqpdmzZ0uSHA6HbDab7r//fk2YMOGi21dWVio8PFyzZ8/WiBEjLtrebrcrNDRUJSUlCgkJ+cX1Ax5XUSZNb171fNIhydrYu/UAgBd46u+3V88IVVRUaN26dUpNTXUu8/HxUWpqqlatWlWrfZw4cUKnT59WREREjevLy8tlt9urPQAAACQvB6GioiJVVlYqOjq62vLo6Gjl5+fXah+PP/64mjdvXi1M/beMjAyFhoY6Hzab7RfXDQAAGgavjxH6JZ577jl98MEH+vTTTxUYGFhjm4kTJ6qkpMT52L9/fx1XCQAALld+3nzzyMhI+fr6qqCgoNrygoICxcTEXHDbF198Uc8995y++eYbde3a9bztAgICFBAQ4JZ6AQBAw+LVM0JWq1U9evRQZmamc5nD4VBmZqaSk5PPu90LL7ygp59+WgsXLlTPnj3rolQAANAAefWMkCSlp6dr5MiR6tmzp3r37q1Zs2aprKxMo0aNkiSNGDFCcXFxysjIkCQ9//zzmjx5st5//33Fx8c7xxIFBwcrODjYa58DAADUP14PQsOGDVNhYaEmT56s/Px8JSUlaeHChc4B1Lm5ufLx+enE1auvvqqKigrdeuut1fYzZcoUPfXUU3VZOgAAqOe8Po9QXWMeIdQ7zCMEAA1zHiEAAABvIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTuiyC0Jw5cxQfH6/AwED16dNHa9asuWD7jz76SB06dFBgYKC6dOmiL7/8so4qBQAADYnXg9D8+fOVnp6uKVOmaP369UpMTFRaWpoOHz5cY/uVK1dq+PDhuuuuu7RhwwYNHTpUQ4cO1ZYtW+q4cgAAUN9ZDMMwvFlAnz591KtXL82ePVuS5HA4ZLPZdP/992vChAnntB82bJjKysr0+eefO5ddeeWVSkpK0ty5cy/6fna7XaGhoSopKVFISIj7PgjgKRVl0vTmVc/H75KsQd6tBwBqwz9IsljctjtP/f32c9ueLkFFRYXWrVuniRMnOpf5+PgoNTVVq1atqnGbVatWKT09vdqytLQ0LViwoMb25eXlKi8vd7622+1uqBzwkhcTvF0BANTOpEOStbG3q7gor14aKyoqUmVlpaKjo6stj46OVn5+fo3b5Ofnu9Q+IyNDoaGhzofNZnNP8UBd8Q+SbFd6uwoAaJC8ekaoLkycOLHaGSS73U4YQv1isUijF0qnT3i7EgCoPf/6cRnfq0EoMjJSvr6+KigoqLa8oKBAMTExNW4TExPjUvuAgAAFBAS4p2DAWyyWenGKGQDqG69eGrNarerRo4cyMzOdyxwOhzIzM5WcnFzjNsnJydXaS9KiRYvO2x4AAOB8vH5pLD09XSNHjlTPnj3Vu3dvzZo1S2VlZRo1apQkacSIEYqLi1NGRoYk6cEHH1S/fv300ksv6aabbtIHH3ygtWvX6i9/+Ys3PwYAAKiHvB6Ehg0bpsLCQk2ePFn5+flKSkrSwoULnQOic3Nz5ePz04mrvn376v3339cTTzyhSZMmqV27dlqwYIE6d+7srY8AAADqKa/PI1TXmEcIAID6x1N/v70+szQAAIC3EIQAAIBpEYQAAIBpEYQAAIBpEYQAAIBpEYQAAIBpEYQAAIBpEYQAAIBpEYQAAIBpef0nNura2Ym07Xa7lysBAAC1dfbvtrt/EMN0Qej48eOSJJvN5uVKAACAq44cOaLQ0FC37c90vzXmcDh06NAhNWnSRBaLxa37ttvtstls2r9/v+l/x4y+qI7+qI7++Al9UR39UR398ZOSkhK1bNlSx44dU1hYmNv2a7ozQj4+PmrRooVH3yMkJMT0B+xZ9EV19Ed19MdP6Ivq6I/q6I+f+Pi4d3gzg6UBAIBpEYQAAIBp+T711FNPebuIhsTX11cpKSny8zPdVcdz0BfV0R/V0R8/oS+qoz+qoz9+4om+MN1gaQAAgLO4NAYAAEyLIAQAAEyLIAQAAEyLIAQAAEyLIOSiOXPmKD4+XoGBgerTp4/WrFlzwfYfffSROnTooMDAQHXp0kVffvllHVXqea70xbx582SxWKo9AgMD67Baz1q6dKkGDx6s5s2by2KxaMGCBRfdJisrS927d1dAQIASEhI0b948zxdaB1zti6ysrHOODYvFovz8/Dqq2HMyMjLUq1cvNWnSRFFRURo6dKh27Nhx0e0a6vfGpfRHQ/7uePXVV9W1a1fnZInJycn66quvLrhNQz02XO0Ldx4XBCEXzJ8/X+np6ZoyZYrWr1+vxMREpaWl6fDhwzW2X7lypYYPH6677rpLGzZs0NChQzV06FBt2bKljit3P1f7QqqaGTUvL8/52LdvXx1W7FllZWVKTEzUnDlzatU+JydHN910k/r376+NGzfqoYce0pgxY/T11197uFLPc7UvztqxY0e14yMqKspDFdad7Oxs3XfffVq9erUWLVqk06dP6/rrr1dZWdl5t2nI3xuX0h9Sw/3uaNGihZ577jmtW7dOa9eu1YABA3TzzTdr69atNbZvyMeGq30hufG4MFBrvXv3Nu677z7n68rKSqN58+ZGRkZGje1vu+0246abbqq2rE+fPsbvfvc7j9ZZF1zti7/97W9GaGhoXZXnVZKMTz/99IJtHnvsMeNXv/pVtWXDhg0z0tLSPFlanatNXyxZssSQZBw7dqyOqvKew4cPG5KM7Ozs87ZpyN8bP1eb/jDTd4dhGEZ4eLjxxhtv1LjOTMeGYVy4L9x5XHBGqJYqKiq0bt06paamOpf5+PgoNTVVq1atqnGbVatWVWsvSWlpaedtX19cSl9IUmlpqVq1aiWbzXbRpN/QNdRj45dISkpSbGysBg4cqBUrVni7HI8oKSmRJEVERJy3jZmOjdr0h2SO747Kykp98MEHKisrU3Jyco1tzHJs1KYvJPcdFwShWioqKlJlZaWio6OrLY+Ojj7vWIb8/HyX2tcXl9IX7du315tvvql//vOfevfdd+VwONS3b18dOHCgLkq+7Jzv2LDb7Tp58qSXqvKO2NhYzZ07Vx9//LE+/vhj2Ww2paSkaP369d4uza0cDoceeughXXXVVercufN52zXU742fq21/NPTvjs2bNys4OFgBAQEaO3asPv30U3Xq1KnGtg392HClL9x5XDBfN+pEcnJytWTft29fdezYUa+99pqefvppL1YGb2vfvr3at2/vfN23b1/t3r1bM2fO1DvvvOPFytzrvvvu05YtW7R8+XJvl3JZqG1/NPTvjvbt22vjxo0qKSnRP/7xD40cOVLZ2dnnDQANmSt94c7jgiBUS5GRkfL19VVBQUG15QUFBYqJialxm5iYGJfa1xeX0hc/5+/vr27dumnXrl2eKPGyd75jIyQkRI0aNfJSVZeP3r17N6jAMG7cOH3++edaunSpWrRoccG2DfV747+50h8/19C+O6xWqxISEiRJPXr00HfffaeXX35Zr7322jltG/qx4Upf/NwvOS64NFZLVqtVPXr0UGZmpnOZw+FQZmbmea9hJicnV2svSYsWLbrgNc/64FL64ucqKyu1efNmxcbGeqrMy1pDPTbcZePGjQ3i2DAMQ+PGjdOnn36qxYsXq3Xr1hfdpiEfG5fSHz/X0L87HA6HysvLa1zXkI+NmlyoL37uFx0XbhlybRIffPCBERAQYMybN8/44YcfjHvuuccICwsz8vPzDcMwjDvuuMOYMGGCs/2KFSsMPz8/48UXXzS2bdtmTJkyxfD39zc2b97srY/gNq72xdSpU42vv/7a2L17t7Fu3TrjN7/5jREYGGhs3brVWx/BrY4fP25s2LDB2LBhgyHJmDFjhrFhwwZj3759hmEYxoQJE4w77rjD2X7Pnj1GUFCQ8eijjxrbtm0z5syZY/j6+hoLFy701kdwG1f7YubMmcaCBQuM//znP8bmzZuNBx980PDx8TG++eYbb30Et7n33nuN0NBQIysry8jLy3M+Tpw44Wxjpu+NS+mPhvzdMWHCBCM7O9vIyckxvv/+e2PChAmGxWIx/v3vfxuGYa5jw9W+cOdxQRBy0Z/+9CejZcuWhtVqNXr37m2sXr3aua5fv37GyJEjq7X/8MMPjSuuuMKwWq3Gr371K+OLL76o44o9x5W+eOihh5xto6OjjUGDBhnr16/3QtWecfYW8J8/zvbByJEjjX79+p2zTVJSkmG1Wo02bdoYf/vb3+q8bk9wtS+ef/55o23btkZgYKARERFhpKSkGIsXL/ZO8W5WUz9Iqvbv2kzfG5fSHw35u2P06NFGq1atDKvVajRr1sy47rrrnH/4DcNcx4arfeHO48JiGIbh+nkkAACA+o8xQgAAwLQIQgAAwLQIQgAAwLQIQgAAwLQIQgAAwLQIQgAAwLQIQgAAwLQIQgAAwLQIQgDwo6eeekoWi0UWi0WzZs26YNuz7cLCwuqoOgCeQBAC4DXz5s1zBgpfX1+Fh4erT58+mjZtmkpKSmrcZtSoUXriiSe0d+9eWSwWbdy4sdr6/w4zfn5+ioyM1LXXXqtZs2bV6gccf/WrXykvL0/33HPPBdvl5eVdNCwBuPwRhAB4VUhIiPLy8nTgwAGtXLlS99xzj95++20lJSXp0KFD1dpWVlbq888/15AhQy64z7NhJjc3V0uWLNH//d//KSMjQ3379tXx48cvuK2fn59iYmIUFBR0wXYxMTEKDQ2t3YcEcNkiCAHwiMLCQsXExGj69OnOZStXrpTValVmZqZzmcViUUxMjGJjY9WxY0fdddddWrlypUpLS/XYY49V2+fKlSvl7++vXr16qXXr1pKkbt26yWKxKCUlxdnubJhp3ry5unTpovvvv1/Z2dnasmWLnn/+ec9+cAD1CkEIgEc0a9ZMb775pp566imtXbtWx48f1x133KFx48bpuuuuu+C2UVFRuv322/XZZ5+psrLSufyzzz7T4MGDZbFYtGbNGknSN998o7y8PH3yyScX3GeHDh104403XrQdAHMhCAHwmEGDBunuu+/W7bffrrFjx6px48bKyMio1bYdOnTQ8ePHdeTIEeeyf/7zn87LYs2aNZMkNW3aVDExMYqIiKjVPvfu3ev6BwHQYBGEAHjUiy++qDNnzuijjz7Se++9p4CAgFptZxiGpKpLZ5K0bds2HTp06KJnky62z7P7q62xY8cqODjY+QDQsBCEAHjU7t27dejQITkcDpfOxmzbtk0hISFq2rSppKrLYgMHDlRgYOAl17Jt2zbn2KLamjZtmjZu3Oh8AGhY/LxdAICGq6KiQv/v//0/DRs2TO3bt9eYMWO0efNmRUVFXXC7w4cP6/3339fQoUPl41P1/2v//Oc/q93SbrVaJanaGKIL2b59uxYuXKiJEye69BmioqIuWi+A+osgBMBj/vCHP6ikpESvvPKKgoOD9eWXX2r06NH6/PPPnW0Mw1B+fr4Mw1BxcbFWrVql6dOnKzQ0VM8995ykqmC0du1affbZZ87toqKi1KhRIy1cuFAtWrRQYGCg83b2M2fOKD8/Xw6HQ0eOHFFWVpaeeeYZJSUl6dFHH63bTgBwWePSGACPyMrK0qxZs/TOO+8oJCREPj4+euedd7Rs2TK9+uqrznZ2u12xsbGKi4tTcnKyXnvtNY0cOVIbNmxQbGysJOlf//qXevfurcjISOd2fn5+euWVV/Taa6+pefPmuvnmm53rtm7dqtjYWLVs2VIpKSn68MMPNXHiRC1btoxxPgCqsRhnRyQCwGVqyJAhuvrqq8+ZV8jdnnrqKS1YsKDWY4HmzZunhx56SMXFxR6tC4DncEYIwGXv6quv1vDhw+vkvTZv3qzg4GD9+c9/vmC74OBgjR07tk5qAuA5nBECgB8dPXpUR48elVQ1T9GFfkJj165dkiRfX1+X70QDcPkgCAEAANPi0hgAADAtghAAADAtghAAADAtghAAADAtghAAADAtghAAADAtghAAADAtghAAADCt/w8Sdxu6rHPykAAAAABJRU5ErkJggg==",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.8608359516499842\n",
      "low sal breakthrough time = 1.0980083098209574\n",
      "high sal sw_shock = 0.5418926584207182\n",
      "high sal breakthrough time = 0.7870168506036143\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f0873cf9ad0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids_oil_water = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_solvent = FF.oil_water_fluids(mu_water=1.1e-3, mu_oil=1e-3)\n",
    "rel_perms_oil_water = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "rel_perms_solvent = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "swc=0.15, sor=0.05, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(sw_init = 1-0.2)\n",
    "core_props = FF.core_properties()\n",
    "K_eq = 2.0\n",
    "sol_res = FF.water_soluble_solvent_flood(core_props, fluids_solvent, fluids_oil_water, \n",
    "    rel_perms_oil_water, rel_perms_solvent, core_flood, K_eq)\n",
    "FF.visualize(sol_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "\u001b[91mUndefVarError: sol_res not defined\u001b[39m",
     "output_type": "error",
     "traceback": [
      "\u001b[91mUndefVarError: sol_res not defined\u001b[39m",
      ""
     ]
    }
   ],
   "source": [
    "typeof(sol_res)"
   ]
  }
 ],
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